I was a teacher for many years. I was often accused of taking too long to get to the point but i wanted my students top get a deep understanding of the concepts I was teaching so the skills they obtained would be with them for life. My teachers did the same. I'm a senior citizen (graduated H.S school in '74). I'm also a stroke victim, but I was able to solve the problem right away thanks top teachers that took their time to explain in depth so students could obtain the strength that you obviously lack now and most certainly lacked during your school years which didn't allow yourself to be taught.
@autrycourt7314 I have to confess that I share your impatience often times on this channel but I try to be charitable and give him the benefit of the doubt as he is probably more aware than us of the "diversity" of his viewership. In other words, he knows that some are faster than others when it comes to learning. I am more critical though when he forgets to explain some critical operations at the end of his demonstrations like we should take them for granted. I spotted those miscues a couple of times already. Not frequent, but still. And frankly, we have access to the cursor at the bottom of the videos if we want to speed it up. That being said, I hope you are doing well in court as I am myself a former lawyer. :) Nobody's perfect! ;)
His explanation was for any IQ of a person who may be desiring to know how to figure it out. I suffered a T.B.I. about 14 years ago. And even though I was sure about some steps, I still desire to see everything explained to congratulate myself on things I still know and I desire the full explanation on anything that I may not have known. So I say job well done John, ?, thanks for the confirmation on the stuff I was convinced that I had right.
Just a few steps here. First get the price of the shirt before sales tax 8.82/1.05 = 8.40 Next 8.40 is 80% of the original price so divide 8.40 by 8 to get 10%($1.05) and times the result by 10 to get the original price = 10.50
Cost 8.82 divided by 1.05 (sale price + tax fraction) = 8.40 (sale price) divided by 0.8 (sale price fraction of original price) = 10.50 (pre-sale price). But your explanations help people who might not know the process. You give not just the WAY, but also the WHY it works.
First step: set your variable to be whatever the problem is asking for. That should be the first step in any word problem. This problem asks you to find the original price of the shirt. Hence, x = the original price of the shirt. Second step: Construct your equation. Since there's a 20% discount, the sale price is 80% of x, or 0.8 * x The sale price plus sales tax is (0.8 * x) * 1.05. This equals the price Sara paid: $8.82 So your equation is (0.8 * x) * 1.05 = $8.82. Third step: get the left side of the equation to be just x. Divide both sides by 1.05, and you get 0.8x = $8.82/1.05 = $8.40 Divide both sides by 0.8, and you get $8.40/0.8 = $10.50 Double checking: If the original price is $10.50, then the sales price is $10.50 * 0.8 = $8.40 Add sales tax: $8.40 * 1.05 = $8.82. That's the price Sara paid, so the answer checks out. BONUS TIP: If division by a decimal freaks you out, you can convert it to a fraction. Dividing by 0.8 is the same as dividing by (8/10). That's the same as multiplying by (10/8). Many people find $8.40 * (10/8) easier to handle than $8.40 / 0.8, even though they're the same thing. 🙂
MR. TabletClass Math ,thank you for an awesome video/lecture on Algebra Percent Word Problem. Students must do many word problems, for a full understanding of the subject.
Watching from Philippines. I don't like math but I have to learn it for me to pass the exam. Please more videos for those lower thinking or low learner like me. I have poor understanding about math problem. I want explanation lower than basic or short cut explanation that easy to remember . Thanks for sharing this video.
Two easy steps here .. 1) The $8.82 she paid includes 5% sales tax 8.82 = 105% 100 x 8.82 / 105 = 8.40 The sale price of the shirt was $8.40 2) The shirt was 20% off in a sale .. so $8.40 is 80% of the original price 8.40 x 100 / 80 = 10.50 The original price of the shirt was $10.50
I use rule of three for this .. if 8.82 its the 105% how much would be 100% so 100*8.82 then divide by 105 thats 8.4 without tax or whats the same but without percents 8.82*1 divided by 1.05 = 8.4. then I use rhe same rule to get the 100% from the 80% that I paid, so if 8.4 is the 80% how much was 100% , 8.4*100 then divide that with 80 and you get the price wiithout discount 10.5
I wasn't going to leave a comment, but now I can't help myself. I laughed when I saw how many people were also feeling the same way. This video needs to be simplified or removed. If I were a kid in grade school and had hours worth of homework to get done , I'd be pissed that I spent nearly 30 mins trying to figure out what the heck your talking about. I'm catching up on math so I can pass an exam for an apprenticeship program and this was way too much for me , I can't imagine how the kids feel. If anything this was more confusing than helpful. Thank you anyway for your time and effort. I give this video a D- .
How do we retain the skills we learn associated with math if we aren't using them regularly? After I learn something in math, I always forget how to do it later in life if I am not regularly using it.
I like to assume that it cost 100 dollars : 100 ----> 20 -------> 80 ( after 20% off ) ----------> 4 -----------> 84 ( after adding 5% ) x...............................................................................................8.82 so now we can use proportion : x = 8.82 * 100 / 84 x = 882 / 84 x = 10.50
Let x = original price x. = 100% 8.82 = (80% of x) + (5% of 80% of x) Where sale price of the 20% discount is (100-20) * original price 5% Tax of the sale price = 5% * (100-20)* original price
Final price is $ 8.82 including 5% tax. $8.82 - 5% = $8.38,,,,, (100% - 20% = 80%), so if 80%=$8.38 then 100%= $10.47 The original price of the shirt is closer to $10.47. in business pennies count.
I got £10.47 as well. Is £10.47 actually right? I have been frantically trying to find my mistake... Would someone please confirm if it is correct answer that the two of us got as a result? 🙂
Hell, I can't understand why you make it such a complicated issue?? Use Proportions to start with. 80 : 8.82 :: 100 : X Multiply the ends by the means and you get 882/80 = $11.025 which includes 5% sales Tax. Sales Tax of 5% is 105/100 = 1.05 Therefore divide $11.025 / 105 = $10.50. Now, how easy was that?? Now I'm 73 and haven't done maths since leaving school!
Of course the “original price” of the shirt is not what Sara would have paid if it were not on sale. If she expects to get the shirt for 10.50 when it is not on sale, she is mistaken. Don’t forget the 5% (in this case) sales tax.
Hello, 8.82 is the price with the tax. When you multiplied that by 0.95, you are taking 95% of that price. However, this equation totaly changed the solution. Because 8.82 is 105% of x, with x being the price without the tax. Then, since 8.4 is the price without the tax, we can then say that 8.4 is 80% of the original price. Hence, it would be 10.5.
its funny, i know how to answer but i dont understand the why. how did you figure out the 80% why must we divide the .84 into the full price, will brushing off percents really answer that?
No sir. Why are you taking 5% off of the discounted price? I would divide 8.82 by 1.05 to find the price which is 20% off of that of the original price. Then, we can divide this by 0.8. Therefore, the original price is 10.5. Check: If I subtract 20% off the 10.5, I get 10.5 - 10.5*0.2 = 8.4 Then, add 5% of 8.4 to it, since that is the tax. 8.4+8.4*0.05 = 8.82
Well, 8.82 is really 105% of the price after the 20% discount. To get to the price after 20% of discount, we must divide 8.82 by 1.05, which is the same thing as saying divide 8.82 by 105%. 1.05 is just another way to express 105%.
Greetings. The original base cost of the shirt is $10.48 or $11.00 if the taxes are to be considered. Now, since the final price including the taxes is $8.82, We will remove the 5% sales tax from the final cost to get $8.82 times 5% =$0.44. With the sales tax of $0.44 removed, the cost without the tax is $8.38. Now we are told that this price represents 80% of the original cost. Therefore, if we assume that the original cost is X, then 80% of X = $8.38. That is 80X = $838.00, and X= $838/80= $10.48 rounded without the taxes. If the taxes are considered, the tax amount is calculated on $10.48 at 5% for $0.52
was the sales tax on rebated purchase or on original price? if item has a 5 percent tax after reduction. shirt was 10.54 i calculated for a total price 8.85! oops , yes 10.50
I did it without algebra just going backwards with ratio. If 8.82 is with 5% taxes then it’s 105% of the price without taxes so 8.82 divided by 105, times 100=8.4. This is with 20% discount so it’s 80% of the original price. 8.4 divided by 80, times 100=10.50. Voila
The answer is the price is $8.82 because stores often never intend to charge an "original price" but rather build room for sales and tax into their prices.
Ok just a thought, and having never been taught any "Higher Maths" back in School, one of the things I at least thought I learned was Tax Calculation. So this should have been a straight forward problem, and in this example one of the largest reasons why I never got any traction / sync with it. Why must Math be that complicated when it should be simple. Any way I did this with just simple Multiplication, and came out to $10.55. My question dear Teacher is am I over paying, or are you cheating the Tax Man? Here goes: Take the base price of $8.82, and remove the 5% tax (0.44¢), and get the Base Price of $8.38. Then multiply that by 20% to find the MSRP which was IIRC $1.67 = 10.05. At this point The States going to need their cut so $10.05 x .05 is 50¢ e.g. I get $10.55. I would love to hear back from you on why I'm wrong. I still think this is a total over complication, of what could have been a simpler problem.
@@mikemyers7317 if i use you answer of 10.14 for original price and compute using the percentages in video; then the answer works out to 10.14 * 0.80 * 1.05 = 8.5176 and since monetary values are no more than 2 d.p.; the value is 8.52
How useful do you think it would be if he did a fast 40 second video of how to solve THIS particular problem? He teaches HOW TO SOLVE THESE KINDS OF PROBLEMS!
8 minutes into this video and he still hasn't addressed the problem posed here. give me strength!
I was a teacher for many years. I was often accused of taking too long to get to the point but i wanted my students top get a deep understanding of the concepts I was teaching so the skills they obtained would be with them for life. My teachers did the same. I'm a senior citizen (graduated H.S school in '74). I'm also a stroke victim, but I was able to solve the problem right away thanks top teachers that took their time to explain in depth so students could obtain the strength that you obviously lack now and most certainly lacked during your school years which didn't allow yourself to be taught.
😂😂😂
@autrycourt7314 I have to confess that I share your impatience often times on this channel but I try to be charitable and give him the benefit of the doubt as he is probably more aware than us of the "diversity" of his viewership.
In other words, he knows that some are faster than others when it comes to learning.
I am more critical though when he forgets to explain some critical operations at the end of his demonstrations like we should take them for granted. I spotted those miscues a couple of times already. Not frequent, but still.
And frankly, we have access to the cursor at the bottom of the videos if we want to speed it up.
That being said, I hope you are doing well in court as I am myself a former lawyer. :)
Nobody's perfect! ;)
All your explaining made it much more complicated than it was!
Too much talking and selling of his products. He puts me to sleep. Driving me to drink!
I totally agree !
all the verbal meandering gave me a headache.
I agree to
His explanation was for any IQ of a person who may be desiring to know how to figure it out. I suffered a T.B.I. about 14 years ago. And even though I was sure about some steps, I still desire to see everything explained to congratulate myself on things I still know and I desire the full explanation on anything that I may not have known. So I say job well done John, ?, thanks for the confirmation on the stuff I was convinced that I had right.
A lot of viewers of these fine classes just like to swoop down and pat themselves on the back so they feel superior-THEY ARE NOT! Good luck to you!
Just a few steps here.
First get the price of the shirt before sales tax 8.82/1.05 = 8.40
Next 8.40 is 80% of the original price so divide 8.40 by 8 to get 10%($1.05) and times the result by 10 to get the original price = 10.50
That's exactly what I did!. Stroke didn't affect my math skills or memory. Also, I'm a senior citizen!
Cost 8.82 divided by 1.05 (sale price + tax fraction) = 8.40 (sale price) divided by 0.8 (sale price fraction of original price) = 10.50 (pre-sale price). But your explanations help people who might not know the process. You give not just the WAY, but also the WHY it works.
First step: set your variable to be whatever the problem is asking for. That should be the first step in any word problem.
This problem asks you to find the original price of the shirt.
Hence, x = the original price of the shirt.
Second step: Construct your equation.
Since there's a 20% discount, the sale price is 80% of x, or 0.8 * x
The sale price plus sales tax is (0.8 * x) * 1.05. This equals the price Sara paid: $8.82
So your equation is (0.8 * x) * 1.05 = $8.82.
Third step: get the left side of the equation to be just x.
Divide both sides by 1.05, and you get 0.8x = $8.82/1.05 = $8.40
Divide both sides by 0.8, and you get $8.40/0.8 = $10.50
Double checking:
If the original price is $10.50, then the sales price is $10.50 * 0.8 = $8.40
Add sales tax: $8.40 * 1.05 = $8.82. That's the price Sara paid, so the answer checks out.
BONUS TIP: If division by a decimal freaks you out, you can convert it to a fraction.
Dividing by 0.8 is the same as dividing by (8/10). That's the same as multiplying by (10/8).
Many people find $8.40 * (10/8) easier to handle than $8.40 / 0.8, even though they're the same thing. 🙂
We should appreciate your explanation
MR. TabletClass Math ,thank you for an awesome video/lecture on Algebra Percent Word Problem. Students must do many word problems, for a full understanding of the subject.
Watching from Philippines. I don't like math but I have to learn it for me to pass the exam. Please more videos for those lower thinking or low learner like me. I have poor understanding about math problem. I want explanation lower than basic or short cut explanation that easy to remember . Thanks for sharing this video.
$8.82/1.05=$8.40 = price with no tax. $8.40/.8=$10.50 = price before discount and sales tax.
Love all your advice and tips. Great teacher.
Two easy steps here ..
1) The $8.82 she paid includes 5% sales tax 8.82 = 105%
100 x 8.82 / 105 = 8.40 The sale price of the shirt was $8.40
2) The shirt was 20% off in a sale .. so $8.40 is 80% of the original price
8.40 x 100 / 80 = 10.50 The original price of the shirt was $10.50
Exactly how I saw it.
x + 5%x =8.82
x = discount price before tax
Now plug x into this formula:
x = y - 20%y
y = original price before tax ($10.50)
I use rule of three for this .. if 8.82 its the 105% how much would be 100% so 100*8.82 then divide by 105 thats 8.4 without tax or whats the same but without percents 8.82*1 divided by 1.05 = 8.4. then I use rhe same rule to get the 100% from the 80% that I paid, so if 8.4 is the 80% how much was 100% , 8.4*100 then divide that with 80 and you get the price wiithout discount 10.5
I wasn't going to leave a comment, but now I can't help myself. I laughed when I saw how many people were also feeling the same way. This video needs to be simplified or removed.
If I were a kid in grade school and had hours worth of homework to get done , I'd be pissed that I spent nearly 30 mins trying to figure out what the heck your talking about.
I'm catching up on math so I can pass an exam for an apprenticeship program and this was way too much for me , I can't imagine how the kids feel. If anything this was more confusing than helpful.
Thank you anyway for your time and effort. I give this video a D- .
How do we retain the skills we learn associated with math if we aren't using them regularly? After I learn something in math, I always forget how to do it later in life if I am not regularly using it.
I saw Sarah @ Good Wheel Bargains. That's Y it was inexpensive. Great explanation-could have been boiled down a bit.
DUDE GET TO THE POINT
11 minutes in, and he just got to the equation.
Should I skip??
Awesome video can you make a calculus video i learned allot from you functions,algebra and Calculus etc...
I like to assume that it cost 100 dollars :
100 ----> 20 -------> 80 ( after 20% off ) ----------> 4 -----------> 84 ( after adding 5% )
x...............................................................................................8.82
so now we can use proportion : x = 8.82 * 100 / 84
x = 882 / 84
x = 10.50
It's the end of the day and I decided I would do this one with the calculator. And what do you know, I got it right.
Now let's learn the method.
First subtract out the sales tax then add back in the 20% right? Or vice versa
Let x = original price
x. = 100%
8.82 = (80% of x) + (5% of 80% of x)
Where sale price of the 20% discount is (100-20) * original price
5% Tax of the sale price = 5% * (100-20)* original price
i can understand you more than my teacher
🧠
Original price including or excluding tax ? the question is ambiguous.
Final price is $ 8.82 including 5% tax. $8.82 - 5% = $8.38,,,,, (100% - 20% = 80%), so if 80%=$8.38 then 100%= $10.47 The original price of the shirt is closer to $10.47. in business pennies count.
I got £10.47 as well. Is £10.47 actually right? I have been frantically trying to find my mistake... Would someone please confirm if it is correct answer that the two of us got as a result? 🙂
0.18:82
Please what software and device do you use when presenting your Lessons.?
Yup it's 10.50! Math checks out.
I’m more confused now than I was when I started.
Hell, I can't understand why you make it such a complicated issue?? Use Proportions to start with. 80 : 8.82 :: 100 : X Multiply the ends by the means and you get 882/80 = $11.025 which includes 5% sales Tax. Sales Tax of 5% is 105/100 = 1.05 Therefore divide $11.025 / 105 = $10.50. Now, how easy was that?? Now I'm 73 and haven't done maths since leaving school!
Of course the “original price” of the shirt is not what Sara would have paid if it were not on sale. If she expects to get the shirt for 10.50 when it is not on sale, she is mistaken. Don’t forget the 5% (in this case) sales tax.
I got the answer right, but without making the equation (which I am not Good at
Another take on this, what is the mistake? 8.82 x 0.95 = 8.379; 8.379 / 80 * 100 = 10.473
Hello,
8.82 is the price with the tax. When you multiplied that by 0.95, you are taking 95% of that price. However, this equation totaly changed the solution. Because 8.82 is 105% of x, with x being the price without the tax. Then, since 8.4 is the price without the tax, we can then say that 8.4 is 80% of the original price. Hence, it would be 10.5.
so x = (8.82) / (1.05) y = x / (0.8) in this (case) dividing was easier when i knew i could use a calculator
Could you cut the waffle and get to the point.
Four minutes of waffle and now I'm checking to see if I'm the only one turned off the problem. From a school teach????
This is worthwhile. I think that students should be exposed to more word-problems, because that is the only way that they come "in-the-real-world".
Bro get to the point.
DUDE! First step:
8.82 = 105% of what number.
8.82 divided by 105 = 8.40
Second step:
8.40 is 80% of what number.
8.40 divided by 80 = 10.50.
The end.
8.82/1.05=.80p where p is the price of the shirt. That's the equation. 8.40 is the discounted price before tax and 10.50 was the original price.
its funny, i know how to answer but i dont understand the why. how did you figure out the 80% why must we divide the .84 into the full price, will brushing off percents really answer that?
When you have a 20% discount, that means you paid only 80% of the original price and not the 100% (or full price or original price)
With my calculations I come up with 10.47375
8.82/1.05 = 8.40 /.8 = 10.50
Verbal diarrhea answer
No algebra solution: Deduct 5% tax from $ 8.82 to find the discounted price before tax, then add 20% to get the original price.
No sir.
Why are you taking 5% off of the discounted price? I would divide 8.82 by 1.05 to find the price which is 20% off of that of the original price. Then, we can divide this by 0.8.
Therefore, the original price is 10.5.
Check:
If I subtract 20% off the 10.5, I get
10.5 - 10.5*0.2 = 8.4
Then, add 5% of 8.4 to it, since that is the tax.
8.4+8.4*0.05 = 8.82
@@tobyharnish8952 but why dividing with 1.05
Well, 8.82 is really 105% of the price after the 20% discount. To get to the price after 20% of discount, we must divide 8.82 by 1.05, which is the same thing as saying divide 8.82 by 105%. 1.05 is just another way to express 105%.
@@tobyharnish8952 gotcha, thank you so much.
Greetings. The original base cost of the shirt is $10.48 or $11.00 if the taxes are to be considered. Now, since the final price including the taxes is $8.82, We will remove the
5% sales tax from the final cost to get $8.82 times 5% =$0.44. With the sales tax of $0.44 removed, the cost without the tax is $8.38. Now we are told that this price represents 80% of the original cost. Therefore, if we assume that the original cost is X, then 80% of X = $8.38. That is
80X = $838.00, and X= $838/80=
$10.48 rounded without the taxes.
If the taxes are considered, the tax amount is calculated on $10.48 at
5% for $0.52
was the sales tax on rebated purchase or on original price? if item has a 5 percent tax after reduction. shirt was 10.54 i calculated for a total price 8.85! oops , yes 10.50
$10.50 = orig price
8.82/1.05 give sale price net of sales tax
That #\.8 grosses that # up to orig ask price above
Go to time 11:26 to see beginning of solution to problem. The beginning of these videos are always a bunch of mumble jumble.
Not for people (like me!) who need a step by step method. perhaps if you're so advanced, go away and learn Calculus you smug prick
I did it without algebra just going backwards with ratio. If 8.82 is with 5% taxes then it’s 105% of the price without taxes so 8.82 divided by 105, times 100=8.4. This is with 20% discount so it’s 80% of the original price. 8.4 divided by 80, times 100=10.50. Voila
Can the answer be 10:58
How about the sales tax??!! The shirt was originally on sale for $11.025!!
10.50
He literally just has a channel to talk. This isn't your diary. This isn't a podcast. Do the problem and end it. Mr. J is 10000× better ugh
The original price of the shirt is $10.88 cents.
(8.82/1.05)/.8=$10.50
The answer is the price is $8.82 because stores often never intend to charge an "original price" but rather build room for sales and tax into their prices.
Trail and error second try $10.50 . First try was 10.00 but 10-20% =8 plus 5% was only 8.40 so upped the anti to 10.50 and bingo.
OK, but for someone taking a test, that ,method is far less than ideal especially if the test is timed.
Where did Sara find a $10 shirt? That's my kinda girl
Ok just a thought, and having never been taught any "Higher Maths" back in School, one of the things I at least thought I learned was Tax Calculation.
So this should have been a straight forward problem, and in this example one of the largest reasons why I never got any traction / sync with it.
Why must Math be that complicated when it should be simple.
Any way I did this with just simple Multiplication, and came out to $10.55.
My question dear Teacher is am I over paying, or are you cheating the Tax Man?
Here goes:
Take the base price of $8.82, and remove the 5% tax (0.44¢), and get the Base Price of $8.38. Then multiply that by 20% to find the MSRP which was IIRC $1.67 = 10.05. At this point The States going to need their cut so $10.05 x .05 is 50¢ e.g. I get $10.55.
I would love to hear back from you on why I'm wrong. I still think this is a total over complication, of what could have been a simpler problem.
You take waaaaay toooooo long to get to the point.
Why do you have to talk so much in the begin of your videos ?
10 mins and still not solving? Like bruhhhhhh
11.25$
I got like 10.06 or something....
too much talk!
Talks 2 much
$10.50
Get to the point dawg.
The teacher uses most of his time in advertising his channel. It is boring.
Why are you watching? GET LOST
8.38
Then add the 20% to get the actual price before the discount.
@@dellalyn9918 if x is the original price and y is the sale price after 20% is taken off : then x - 20%x = y but y + 0.20y is not equal to x.
10.14 check yourmath
i just did it with a calculator and 10.50 is the correct answer.
Wrong.
@@mikemyers7317 if i use you answer of 10.14 for original price and compute using the percentages in video; then the answer works out to 10.14 * 0.80 * 1.05 = 8.5176 and since monetary values are no more than 2 d.p.; the value is 8.52
10:58
Talks too much!
How useful do you think it would be if he did a fast 40 second video of how to solve THIS particular problem? He teaches HOW TO SOLVE THESE KINDS OF PROBLEMS!
ugghhhhhhhhhhh 😴