Regarding the last problem, you could just think of the percentages as subunitary values (values between 0 and 1). Refactoring it as such: 10*0.05=0.12x+0.02y y=10-x 0.5=0.12x+0.02(10-x) 0.5=0.12x+0.02*10-0.02x 0.5=0.12x+0.2-0.02x 0.3=0.12x-0.02x 0.3=(0.12-0.02)x 0.3=0.1x (0.3=0.1x)*10 3=x x=3 y=10-3 y=7 . . . profit. I find that to be a way simpler way to think about it. Also, I don't like "cancelling out" stuff, it often leads to mistakes. Also also, I think fractions are silly. Fight me. I dare you.
This is a great video! Thank you for such detailed info. But I arrived at an answer that still didn't solve my problem. I have 57oz at 35% and 128oz at 77%. I need 100oz at 50%. What strength should I cut the 77% down to, to make 100oz at 50% by adding it to the 57oz of 35%? Do you have any videos about this? I believe the only difference between this video and the one I need is that I have predetermined volumes.
I dont mean to be offtopic but does someone know a trick to log back into an instagram account..? I was dumb forgot the password. I would appreciate any assistance you can offer me
@Jonathan Lawrence Thanks for your reply. I got to the site thru google and im trying it out atm. Looks like it's gonna take quite some time so I will reply here later with my results.
at 8:00 I understand how the equation works, but I don't understand how can someone know to to used 5 instead of .05 since its a percent after all. In the table, the 12% and 2% was converted into .12 and .02, so I would think the 5 would be converted into .05 as well.
Since the right side of the equation was multiplied by 100 to give a percent instead of a fraction, then the left side must also be a percent instead of a fraction. That is why 5 was used instead of the fractional quantity 0.05.
Can you show how to mix solutions using multiple solutes? For example, suppose I want to make my special red lemonade that has x amount of sugar, y amount of pulp, and z amount of red food coloring. I have two mixtures of red lemonade already but they aren't my special mixture. One mixture is too high in all three solutes and the other is too low in all three. How will this problem be set up?
Hi, thanks so much for your helpful videos. Could you please recommend some books to practice real-world algebra problems, such as those you present here? (I saw this question answered in another comment, but I can’t find it. Apologies for the repetition!)
I would like to know more about why it's "10-X". Is it because it's 10% less concentration? And if there isn't a value for the total volume needed then what would I do then?
Dividing solute/solution gives the fraction of the solution which is solute. You are correct that working with this fraction can often save a step since you don't have to multiply by 100. However, to represent this fraction as a "volume percent" you must multiply by 100.
Algebra was never my strength, so I am learning the bits I should have mastered earlier. Just sent it to my two sons for comment (one a data base admin, and other other is doing maps for Apple).
Now I have solved my hand sanitizer solution.
Very clear and easy teaching tool!
Yes
Regarding the last problem, you could just think of the percentages as subunitary values (values between 0 and 1).
Refactoring it as such:
10*0.05=0.12x+0.02y
y=10-x
0.5=0.12x+0.02(10-x)
0.5=0.12x+0.02*10-0.02x
0.5=0.12x+0.2-0.02x
0.3=0.12x-0.02x
0.3=(0.12-0.02)x
0.3=0.1x
(0.3=0.1x)*10
3=x
x=3
y=10-3
y=7
.
.
.
profit.
I find that to be a way simpler way to think about it. Also, I don't like "cancelling out" stuff, it often leads to mistakes. Also also, I think fractions are silly. Fight me. I dare you.
*.10
Why don't you make your own videos and stop to take the equilibrium of the people train of thought😂
This is a great video! Thank you for such detailed info. But I arrived at an answer that still didn't solve my problem. I have 57oz at 35% and 128oz at 77%. I need 100oz at 50%. What strength should I cut the 77% down to, to make 100oz at 50% by adding it to the 57oz of 35%? Do you have any videos about this? I believe the only difference between this video and the one I need is that I have predetermined volumes.
Thank you. I was looking for this kind of explanation all day
Awesome videos. Your videos have helped me understand Algebra much better. I was wondering if in the future you can make video for Calculus.
I dont mean to be offtopic but does someone know a trick to log back into an instagram account..?
I was dumb forgot the password. I would appreciate any assistance you can offer me
@Owen Kaden instablaster :)
@Jonathan Lawrence Thanks for your reply. I got to the site thru google and im trying it out atm.
Looks like it's gonna take quite some time so I will reply here later with my results.
@Jonathan Lawrence it did the trick and I actually got access to my account again. I'm so happy!
Thanks so much you really help me out !
@Owen Kaden happy to help =)
at 8:00 I understand how the equation works, but I don't understand how can someone know to to used 5 instead of .05 since its a percent after all. In the table, the 12% and 2% was converted into .12 and .02, so I would think the 5 would be converted into .05 as well.
Since the right side of the equation was multiplied by 100 to give a percent instead of a fraction, then the left side must also be a percent instead of a fraction. That is why 5 was used instead of the fractional quantity 0.05.
Oh wow, makes perfect sense! Thank you!
Huge help, thanks a lot!
You make algebra interesting for children
And for adults alike.
Can you show how to mix solutions using multiple solutes? For example, suppose I want to make my special red lemonade that has x amount of sugar, y amount of pulp, and z amount of red food coloring. I have two mixtures of red lemonade already but they aren't my special mixture. One mixture is too high in all three solutes and the other is too low in all three. How will this problem be set up?
Anthony Cox It depends on your target percentage of solute and the percentage of solute in each solution
Hi, thanks so much for your helpful videos. Could you please recommend some books to practice real-world algebra problems, such as those you present here? (I saw this question answered in another comment, but I can’t find it. Apologies for the repetition!)
I personally like "College Algebra" written by Cynthia Y. Young when she was a professor at the University of Central Florida.
@@MyWhyU Thanks for the recommendation.
Excellent 👌👍😮
very good very good
MyWhyU i subscribed and thanks for your vids
I would like to know more about why it's "10-X". Is it because it's 10% less concentration? And if there isn't a value for the total volume needed then what would I do then?
It's because to get 10 non-metric measures of stuff you need to add 10-x to x. 10-x+x=10.
Thanq sir
I don't really understand why can't you just divide (solution/solute) instead of (solute/solution)x100? It saves one step.
Dividing solute/solution gives the fraction of the solution which is solute. You are correct that working with this fraction can often save a step since you don't have to multiply by 100. However, to represent this fraction as a "volume percent" you must multiply by 100.
av and the professor seem simlar
This is Ok to me😐😐😐😐😐😐
NICE
cool
Algebra was never my strength, so I am learning the bits I should have mastered earlier. Just sent it to my two sons for comment (one a data base admin, and other other is doing maps for Apple).
+John Stanley WOAH COOL :D
And the teachers don't teach like this because? lol