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Math Help - problem solving

  1. #1
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    problem solving

    Jack is twice as old as tom now. last year jack was 15 years older than tom.
    What is jack's present age?


    In a bag, there are toonies and quarters only. if there are six more toonies than quaters and the total amount of money is $39, how many toonies are there in the bag?

    Help, please.
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by buck View Post
    Jack is twice as old as tom now. last year jack was 15 years older than tom.
    What is jack's present age?


    In a bag, there are toonies and quarters only. if there are six more toonies than quaters and the total amount of money is $39, how many toonies are there in the bag?

    Help, please.
    If tom is x years old, then Jack is 2x years old.

    That means, last year Jack was 2x-1 years old, and so Tom was (x-1) years old

    then according to the question last year jack was 15 years older than tom was:

    2x-1 = (x-1) + 15 \implies x = 15

    so tom is 15 and jack is 30

    ----------------------------------------------------------

    (2) I had to google up to find that toonie means a $2 coin

    let there be x toonies and y quarters.. so let us write this equation in the form of cents:

    200 x + 25 y = 3900..........(I)

    x number of 200 cent coins(toonies) and y number of 25 cent coins (quarters) makes 3900 cents($39)

    you are also given that there are 6 more toonies than quarters.. that is,

    x = y+6 .... substitute x = y+6 in equation (I) you have:

    200(y+6) + 25y = 3900

    find y and then x(the number of toonies)!!
    Last edited by harish21; May 3rd 2010 at 03:14 PM.
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