SOLUTION: Amy has a collection of coins consisting of quarters and dimes. She has twice as many quarters as dimes. If the total value of her collection is $150, how many of each kind does sh

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Question 1157529: Amy has a collection of coins consisting of quarters and dimes. She has twice as many quarters as dimes. If the total value of her collection is $150, how many of each kind does she have?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
d dimes
2d quarters

0.1d%2B0.25%2A2d=150

0.6d=150

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Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let d be the number of dimes.

Then the number of quarters is 2d, according to the condition.


Then we can write the money equation for the total in the form


    10d + 25*(2d) = 15000   cents,  or

    10d + 50d = 15000,

    60d       = 15000

      d       = 15000/60 = 250.


ANSWER.  250 dimes and 2*250 = 500 quarters.


CHECK.   250*10 + 500*25 = 15000 cents.    ! Precisely correct !

Solved.