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Simple Ratios problem from old SAT book

  1. Aug 5, 2009 #1
    1. The problem statement, all variables and given/known data

    Aggregate # of nickels and dimes = 20 coins. If the ratio between nickels and dimes is 2:3, what is cent value of 20-coin set?

    2. Relevant equations

    2x = 3y


    3. The attempt at a solution

    20 = nickels(x)+dimes(y); ratio = 2x:3y; 2x = 3y; y = 2x/3

    20 = x + 2x/3; x = 12 nickels; 6 dimes? ...confused from there.
     
  2. jcsd
  3. Aug 5, 2009 #2

    cristo

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    Staff Emeritus
    Science Advisor

    2x=3y => 24=3y => y=8, not 6!
     
  4. Aug 5, 2009 #3

    rock.freak667

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    Homework Helper

    N:D = 2:3
    total ratio =5

    thus, number of N = 2/5 * 20. I think you can do the rest.
     
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