Art of Problem Solving: Introducing Ratios

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  • Опубліковано 25 гру 2011
  • Art of Problem Solving's Richard Rusczyk introduces ratios.
    Learn more about problem solving at our website: bit.ly/ArtofProblemSolving

КОМЕНТАРІ • 434

  • @YAABKA1
    @YAABKA1 6 років тому +390

    the ratio of kids to adult at a party 5:2 ( It's really simple this is what you do ) Add together the ratio ( 5+2=7) Than the answer which is 7 multiply by the ratio example (7*5=35) and also ( 7*2=14) there are 35 kids and 14 adults

    • @z84charmz
      @z84charmz 5 років тому +12

      That is just the easy part smh

    • @7Logik
      @7Logik 5 років тому

      Wow

    • @emmanuelvillanueva1766
      @emmanuelvillanueva1766 5 років тому +25

      So the answer is:
      5+2=7
      7×5=35
      7×2=14

    • @miagym3154
      @miagym3154 5 років тому +11

      Omg thank you so much, much simpler👍😂

    • @AliHussain-uh9xt
      @AliHussain-uh9xt 5 років тому +6

      My man just made me remember that working out that my techer told me thx

  • @jaironeduque8241
    @jaironeduque8241 3 роки тому +58

    2021 still watching from 9 years before this video

  • @escarface
    @escarface 9 років тому +5

    I've watched like 6 videos and this help put the final thought process into motion. I wish all videos would explain the thought process of the last problem. This is where most of the confusion comes from

    • @vincentxie3090
      @vincentxie3090 4 місяці тому

      Hello, are you still active in your channel

  • @emmagracecooks6827
    @emmagracecooks6827 6 років тому +38

    are you kidding!! he is the best teacher EVER!! I have watched every other video about ratios and this one actually made sense! THANK YOU

    • @cold6334
      @cold6334 3 роки тому +2

      it does?...idk man

  • @user-bn8fo4py5k
    @user-bn8fo4py5k Рік тому +5

    I was so lost in class but I knew I had u for backup 🎉🎉😂😅

  • @BigDawg-uv2mz
    @BigDawg-uv2mz 6 років тому +3

    where did u get two to multiply

  • @khandohenders5478
    @khandohenders5478 3 роки тому +14

    Thank you so much, ive struggled with this for long, but you have made it simple for me to understand.

  • @tarungogoi7560
    @tarungogoi7560 6 років тому +7

    Thanks for making the video it helped me in the exam room

  • @sprite3514
    @sprite3514 7 років тому +57

    That odd pause at the begging......

    • @zynkui5206
      @zynkui5206 6 років тому +4

      Cindy Prokop beginning*

    • @nickgill6639
      @nickgill6639 3 роки тому +1

      That is what you noticed

  • @Kattie1995
    @Kattie1995 5 років тому +1

    Wait why did you do 2 times 2?

  • @saritasalome5304
    @saritasalome5304 Рік тому +1

    I don’t understand the 2nd problem 😩 how you get the 13 ?

  • @vegtea1637
    @vegtea1637 6 років тому +6

    This helped me a lot

  • @JanexConfetti
    @JanexConfetti 3 роки тому +21

    doesn't his fingers hurt from all that writing on the board

  • @pheonadasilva6608
    @pheonadasilva6608 5 років тому +3

    its pretty easy thanks for this video it helped me very much

  • @chaaks9816
    @chaaks9816 6 років тому +14

    hahah i didnt get it at all

  • @crocodileguy4687
    @crocodileguy4687 5 років тому +2

    I think you did a good job explaining

  • @dizzysdiamonds
    @dizzysdiamonds Рік тому +1

    Wow ...that's how you start a video !!! Why didn't I have someone like you 25 years ago

  • @Mary-cd3cl
    @Mary-cd3cl 3 роки тому +1

    You know what I’m going to subscribe because you’re awesome

  • @jasmeena2008
    @jasmeena2008 6 років тому +2

    Please could you write the English translation below (cc)

    • @rarokadia
      @rarokadia 3 роки тому

      It means that they are captions

  • @richaka
    @richaka 7 років тому +53

    Dude, you are making this harder than it is. 5kids = 2adults, xkids = 14Adults. solve for x? Cross multiply, you get 2x = 70, divide both sides by 2, you get x = 35.

    • @zaviondenton7992
      @zaviondenton7992 2 роки тому +6

      i dont understand your theory

    • @emmanuelukevwe1547
      @emmanuelukevwe1547 Рік тому +2

      Yeah. Very easy to work it out that way. This guy is really confusing and rounding . Literally got confused for this simple question 🤦‍♂️

    • @humbleobot7615
      @humbleobot7615 Рік тому +2

      It's not for you but for kids

    • @original2858
      @original2858 Рік тому

      Which 35 is correct as you suggested but kids are getting altogether which they’ll add 35 to guest and get that amount however kids are only adding the answer they get from cross multiplying instead of adding to get “altogether” teachers are now showing this way

    • @original2858
      @original2858 Рік тому

      I got a question;
      A barn is drawn 3/4 inch=4 feet. If the actual height of the barn is 59 feet, what is the height of the barn in the drawing?

  • @an.jahnke7632
    @an.jahnke7632 Рік тому

    i'd bet big money that your students love you.!, Very nice presentation.

  • @0menadds
    @0menadds 5 років тому +1

    Cool ratio stuff. Thanks

  • @lachingona
    @lachingona 2 роки тому

    Great explanation!

  • @silxbeats
    @silxbeats Рік тому

    You made this video very interesting to watch...

  • @BaelieYoung
    @BaelieYoung 10 років тому +11

    What kind of board are u using in this video?

    • @vincentxie3090
      @vincentxie3090 4 місяці тому

      Hello, are you still active in your channel

  • @ernestnadome9120
    @ernestnadome9120 4 роки тому +1

    U make it seem so easy

  • @chalky666
    @chalky666 Рік тому

    bro this has helped alot not gonna lie

  • @yolandasteenkamp3862
    @yolandasteenkamp3862 3 роки тому +2

    ok so this is a easy way so the ratio of kids to adult at a party 5:2 ( It's really simple this is what you do ) Add together the ratio ( 5+2=7) Than the answer which is 7 multiply by the ratio example (7*5=35) and also ( 7*2=14) there are 35 kids and 14 adults

  • @Lorna-AnneCampbell-qh4mo
    @Lorna-AnneCampbell-qh4mo 5 днів тому

    Mad how mad how this still useful twelve years later watching this in 2024

  • @AtlantisPKXD
    @AtlantisPKXD 3 роки тому +1

    This is alot of help

  • @shreyadhap9981
    @shreyadhap9981 3 роки тому +3

    Really good for me to learn

  • @yscarnage8345
    @yscarnage8345 3 роки тому

    thanks bro i can use this method for my ppe exams

  • @markxsons9330
    @markxsons9330 9 років тому +2

    Daniel's mother gives Daniel and his brother the same amount of allowance every month. By mistake, Daniel gets more allowance this month. The ratio of his allowance to his brother's allowance is 7 : 4. Daniel decides to give his brother some money so that both of them will have the same amount. If Daniel has $238 now, how much must Daniel give to his brother?
    Plz reply...

    • @leonardbriffa2193
      @leonardbriffa2193 9 років тому +3

      Mark Xsons ratio 7:4 and daniel gets 238dollars. thus 7 times X is 238. X is 238/7=34. now find his bros pay. 4x34=136. total dished out by mom. 238+136=374,divide by 2=187 each but daniel got more and his bro less--238-187=51 dollars he needs to give his bro to come equal

    • @eternalending8807
      @eternalending8807 6 років тому

      136

  • @zaviondenton7992
    @zaviondenton7992 2 роки тому

    In a bicycle shop, the ratio of tricycles to bicycles is 6:11.
    Calculate the amount of bicycles in the shop given that there are 90 tricycles in the shop.

  • @tarungogoi7560
    @tarungogoi7560 6 років тому +2

    Very nice video I loved this method

  • @bengaadegborioye3183
    @bengaadegborioye3183 7 років тому +1

    i love this video it has helped me understand ratio very well

  • @scholium3370
    @scholium3370 8 років тому +4

    that was a beautiful presentation, such a variety of techniques too! well done.

  • @pilotrahulrajbhar
    @pilotrahulrajbhar 3 роки тому +1

    Why dont u cross multiple

  • @shainaswaby4210
    @shainaswaby4210 4 роки тому +2

    this helped a lot thank you I have a test on Monday and I now have a better understanding of ratio
    thank you so much 🥰

  • @nmerimgbeahuruike7629
    @nmerimgbeahuruike7629 4 роки тому +1

    Very informative and the concept is clearly taught.

  • @Gen3ralGrimReaper
    @Gen3ralGrimReaper 3 роки тому +1

    On the first radio problem, how did he figure out he needed to multiple 2•5 & 2•2?
    On the second ratio, how did he figure out 13? I’m lost.

  • @doublerubyadventures
    @doublerubyadventures Рік тому

    I'm new thank you for the help and I loved the energy so I'm a new subscriber

  • @spaceboiclub
    @spaceboiclub 5 років тому +3

    Thank you very much! :)

  • @galaxycookie75
    @galaxycookie75 4 роки тому +1

    This is helpful as now we can not go to school because of corana, we can learn how to do Ratios from here , l was confused in Ratios but after watching this video l am not so thanks , l will share this video with my class.

    • @galaxycookie75
      @galaxycookie75 4 роки тому +1

      Btw the start was kind of weird because you had a little pause in the start

  • @sararani6331
    @sararani6331 3 роки тому

    Who is the X in the second question

  • @Laurel3000
    @Laurel3000 5 років тому +2

    Thx 4 the help! (You saved me with my math homework!)

  • @idahseoforeng1492
    @idahseoforeng1492 3 роки тому

    I did not understand but now I do thanks

  • @givenchyjenn7086
    @givenchyjenn7086 2 роки тому

    Thank you!!!

  • @anotherrandomyoutuber4321
    @anotherrandomyoutuber4321 5 років тому

    Thank you

  • @pramodrekhamys
    @pramodrekhamys 4 роки тому +1

    Thank you very much for the vedio

  • @lindacarter4543
    @lindacarter4543 9 років тому +4

    Are you the one that does number theory?

  • @jamesshaw3622
    @jamesshaw3622 3 роки тому +5

    One of the worst parts about math for me was learning how to do one problem, multiple ways.
    I can learn how to solve a math problem multiple ways, but it usually confuses me in the end, during the step-by-step process. I get the multiple solutions confused with each other.

  • @Kraeeer7i
    @Kraeeer7i Рік тому +1

    The intro is so nostalgic

  • @Ahmad-ne9co
    @Ahmad-ne9co 2 роки тому +1

    Proved helpful.... Cool method

  • @joolokeninekwaya2562
    @joolokeninekwaya2562 Рік тому

    Thank for your help 🙂

  • @mashupervance5404
    @mashupervance5404 5 років тому +1

    Its so hard Uhmm.. 😤😥😧😩😰I have a question😑😮😴 | in 5:2= 2.5:2.2 | where did you get 2•5 and 2•2?😒😫😫😫

  • @raychellekrisbalolong9272
    @raychellekrisbalolong9272 3 роки тому +1

    I don't understand the second one

  • @YAABKA1
    @YAABKA1 6 років тому +6

    The problem is not maths or the formula he used but communication we all don't see things the same that can make something simple very hard to understand all he was saying was 26 more people and he jumps to 13 not going in great detail I must thank him doe for putting this video up THANKS Those who wants to go into more detail the second ratio please look into this
    1. 3=5 - 2 MORE ADULTS
    2. 6=10 - 4 MORE ADULTS
    3. 9=15 - 6 MORE ADULTS
    4. 12=20 - 8 MORE ADULTS
    5. 15=25 - 10 MORE ADULTS
    6. 18=30 - 12 MORE ADULTS
    7. 21=35 - 14 MORE ADULTS
    8. 24=40 - 16 MORE ADULTS
    9. 27=45 - 18 MORE ADULTS
    10. 30=50 - 20 MORE ADULLTS
    11. 33=55 - 22 MORE ADULTS
    12. 36=60 - 24 MORE ADULTS
    13. 39=65 - 26 MORE ADULTS
    SOME THINK IF YOU MULTIPLY BY 2 ( WHERE DID THE 2 COME FROM? WELL EVERY 3 KIDS THERE IS 5 ADULTS THAT IS 2 MOR EXTRA ADULTS) THAT WILL GIVE YOU 26 THAT IS 13 BECAUSE ( 13X2 = 26) now let’s go back to the original ratio which was 3:5 so let’s see 13 MULTIPLY by 3 gives me 39 KIDS and also do the same for the other part 13 multiply BY 5 GIVES ME 65 ADULTS THAT IS 26 MORE ADULTS ARE YOU STILL CONFUSED LETS SIMPLY 65-39= 26 I HOPE THAT HELPS

    • @fergusthomson821
      @fergusthomson821 5 років тому

      So is his final answer wrong?

    • @NoxiousLynx
      @NoxiousLynx 2 роки тому

      thank you! this was very well communicated unlike the dude in the video who didn't communicate clear enough.

  • @Asphodel_gabby
    @Asphodel_gabby Рік тому

    THANK YOU

  • @johndungca2505
    @johndungca2505 5 років тому +1

    ty sir

  • @MsHarikrisna
    @MsHarikrisna 4 роки тому

    Can somebody help me solve this?
    Nadeem had some local and foreign stamps. The ratio of the number of local stamps to foreign stamps was 3:4. She gave away 28 foreign stamps and the ratio of the number of local stamps to the number of foreign stamps became 9:8.
    How many local stamps did Nadeem have?
    How many foreign stamps did Nadeem have in the end?
    Pls. help, need to explain and practice my son about Ratio.

    • @udow.7167
      @udow.7167 3 роки тому

      X = number of local stamps; Y = number of foreign stamps
      I.) X + 4/3X = Y
      II.) X + 8/9X = Y - 28
      Now you put I.) into II.) to replace the Y:
      III.) X + 8/9X = (X + 4/3X) - 28
      some minor calculation to get X:
      X + 8/9X = (X + 4/3X) - 28 |+28
      X + 8/9X + 28 = X + 4/3 X | 4/3=12/9
      => X + 8/9X + 28 = X + 12/9X |-1X - 8/9X
      28 = 4/9X |*9/4
      63 = X. This is the number of local stamps.
      63 * 4/3 = 84. This is the number of foreign stamps in the beginning. 63:84 - this is the initial ratio of 3:4.
      84 - 28 = 56. This is the number of foreign stamps in the end. The ratio is now 63:56 or 9:8.

  • @painful4711
    @painful4711 6 років тому +4

    Umm my first question would be where at

  • @smayhem4963
    @smayhem4963 7 років тому +2

    What is that he's writting on?

  • @ssshaikh9092
    @ssshaikh9092 4 роки тому

    What is the equation for the first word problem? As for second one it was 5x-3×=26.please reply thanks.

  • @mariloubaccay2629
    @mariloubaccay2629 5 років тому

    How to solve 34 to38

  • @Mohammadaliedits
    @Mohammadaliedits Рік тому

    "So were done" *stares into your soul*

  • @ameenjakobra3373
    @ameenjakobra3373 2 роки тому +2

    i didnt understand from this method :(

  • @kais8585
    @kais8585 9 років тому +3

    Good Job buddy.. keep it up!

  • @bonk549
    @bonk549 2 роки тому

    I have test tommorow im nervous but this will help me out so goodluck me

  • @tarungogoi7560
    @tarungogoi7560 6 років тому +2

    😊😊😊nice video

  • @almacastro1412
    @almacastro1412 4 роки тому

    Nice video

  • @pandakillerpo138
    @pandakillerpo138 3 роки тому

    Thank u so much

  • @genricmaraon7681
    @genricmaraon7681 9 років тому +5

    i dont under stand a think man how did u come up on dose numbers...pls explain it sir.

    • @YAABKA1
      @YAABKA1 6 років тому

      1. 3=5 - 2 MORE ADULTS
      2. 6=10 - 4 MORE ADULTS
      3. 9=15 - 6 MORE ADULTS
      4. 12=20 - 8 MORE ADULTS
      5. 15=25 - 10 MORE ADULTS
      6. 18=30 - 12 MORE ADULTS
      7. 21=35 - 14 MORE ADULTS
      8. 24=40 - 16 MORE ADULTS
      9. 27=45 - 18 MORE ADULTS
      10. 30=50 - 20 MORE ADULLTS
      11. 33=55 - 22 MORE ADULTS
      12. 36=60 - 24 MORE ADULTS
      13. 39=65 - 26 MORE ADULTS
      SOME THINK IF YOU MULTIPLY BY 2 ( WHERE DID THE 2 COME FROM? WELL EVERY 3 KIDS THERE IS 5 ADULTS THAT IS 2 MOR EXTRA ADULTS) THAT WILL GIVE YOU 26 THAT IS 13 BECAUSE ( 13X2 = 26) now let’s go back to the original ratio which was 3:5 so let’s see 13 MULTIPLY by 3 gives me 39 KIDS and also do the same for the other part 13 multiply BY 5 GIVES ME 65 ADULTS THAT IS 26 MORE ADULTS ARE YOU STILL CONFUSED LETS SIMPLY 65-39= 26 I HOPE THAT HELPS

    • @siouxdfroy845
      @siouxdfroy845 5 років тому

      YAABKA1 I ain’t reading that

  • @michaelonwuka8447
    @michaelonwuka8447 6 років тому

    Thanks

  • @l0nlym1lk17
    @l0nlym1lk17 3 роки тому

    yooooooo math test tomorrow. and I'm British so you know im gonna do badly if I don't revise. wish me luck guys

  • @kingdomman1947
    @kingdomman1947 4 роки тому +1

    what if . the numbers where odd

  • @tocacuddles9439
    @tocacuddles9439 Рік тому +1

    Ty

  • @gianrobloxandmore1555
    @gianrobloxandmore1555 5 років тому

    THANK YOU MAN YOUR SO GOOD

  • @tristantiongson7544
    @tristantiongson7544 3 роки тому +1

    Ty :)

  • @tejhh8247
    @tejhh8247 6 років тому

    When he read the ratio 😂😂 0:41

  • @allanlam7669
    @allanlam7669 7 років тому

    For everyone that doesn't understand immediately, you will, eventually. Because whilst he doesn't write down the words "group", or "grouping", he mentions and emphasizes it, and really stresses it throughout the video.
    The fact that he doesn't specifically outline it, makes the video especially memorable and fulfilling to understand, because you really have to concentrate, both on what he writes, and on what the says, at the same time! I thoroughly enjoyed it after watching it a few times to fully understand it. You realise what how experienced he is. He earns my trust. It may not kick in today, but it will stick longer and when we need it, it will be there.

  • @iamghostofuchiha6786
    @iamghostofuchiha6786 5 років тому +2

    5:2
    5
    -*14
    2
    5*7-35

  • @mariammariam-ue1sy
    @mariammariam-ue1sy 5 років тому +9

    You made it complicated but Thank you though.

  • @tarungogoi7560
    @tarungogoi7560 6 років тому +1

    Can you please tell me more about ratio

  • @cookielife9570
    @cookielife9570 4 роки тому +3

    Ratio always messes my mind up and makes me so confused.. 😑

  • @jamesnoellejavier7990
    @jamesnoellejavier7990 3 роки тому

    Why not just add the ratio then multipy the ratio?

  • @evangelineperez7688
    @evangelineperez7688 8 місяців тому +3

    I am so confused

  • @kingpeesant8826
    @kingpeesant8826 4 роки тому

    Well I learned something

  • @joepeeer4830
    @joepeeer4830 6 років тому +1

    great

  • @leo-yt8jg
    @leo-yt8jg 2 роки тому +1

    awesome + ratio

  • @ashleymaluks657
    @ashleymaluks657 Місяць тому

    I understood the first example but the second one yhoo i don't understand it completely

  • @banditartist4112
    @banditartist4112 2 роки тому

    I got the star test today

  • @kul795
    @kul795 2 роки тому +4

    Didn't understand anything

  • @xhlcus88
    @xhlcus88 3 роки тому +3

    *That reminds me of body parts*

    • @Team_sza
      @Team_sza 2 місяці тому

      I THOUGHT I WAS THE ONLY ONE 😭

  • @JanexConfetti
    @JanexConfetti 3 роки тому +1

    1:01
    IT TELLS US THAT THERE ARE 14 ADULTS AT THE PARTY

  • @dainaokraku2523
    @dainaokraku2523 Рік тому

    I do not understand the 13 but love the humor

  • @hanna7190
    @hanna7190 2 роки тому +1

    Pov: it's 2021 and ur watching this vid for ur module

  • @ojlukhele686
    @ojlukhele686 2 роки тому

    Thx

  • @greatcocplayer5131
    @greatcocplayer5131 6 років тому

    Like your video

  • @abiudwilsonkavara3575
    @abiudwilsonkavara3575 5 років тому +3

    Total conversion cost is N$500 000. Direct labour and the other element of conversion cost are
    in the ratio of 3 : 2 to total conversion cost. Direct material is 5 times more than indirect material
    and 3 times more than direct labour. Indirect material is already included in the N$500 000
    conversion cost.
    Required:
    Calculate the following:
    Direct material used
    Direct labour
    Manufacturing overheads
    Manufacturing cost
    Primary cost