SOLUTION: A bag contains 33 coins, some dimes and some quarters. The total amount of money in the bag is $4.35. How many dimes and how many quarters are in the bag?

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Question 1070894: A bag contains 33 coins, some dimes and some quarters. The total amount of money in the bag is $4.35. How many dimes and how many quarters are in the bag?
Answer by addingup(3677) About Me  (Show Source):
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d+q = 33
subtract q from both sides:
d = 33-q
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0.10d+0.25q = 4.35 substitute for d:
0.10(33-q)+0.25q = 4.35
3.30-0.10q+0.25q = 4.35
0.15q = 1.05
q = 7 So there are 7 quarters and
33-7 = 26 dimes
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check:
7*0.25 = 1.75
26*0.10 = 2.60
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Total: 4.35 Correct