Math

You have some quarters and some nickels in your pocket in total you have 7 coins and together they are worth 95 cents how many nickels and how many are quarters?

I know the equations will have something to do with the 7 couns and they are worth 95 cents all together

Is one of them x+y=95

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asked by M
  1. I know that there will be 3 quarters and 4 nickels because 3 quarters is 75cents and 4 more nickels equals 95, but how would I make 2 equations for the problem.

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    posted by M
  2. Actually one of them is x+y=7

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    posted by M
  3. right. x+y=7
    that counts the coins. Now you have to count the value.

    If you have x nickels and y quarters, then

    5x+25y = 95

    Now, you can insert your first equation into this one as follows:

    5x+5y+20y = 95
    5(x+y)+20y = 95
    5(7)+20y = 95
    35+20y = 95
    20y = 60
    y=3
    so, x=4

    That is how to arrive at the solution algebraically, rather than just guessing.

    There are also other ways to manipulate the equations, but this one seemed quite natural to me.

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    posted by Steve

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