SOLUTION: Daniel has 63 coins which are quarters and dimes in his coin jar. He knows that he has $9.45. How many quarters does he have?

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Question 934625: Daniel has 63 coins which are quarters and dimes in his coin jar. He knows that he has $9.45. How many quarters does he have?
Answer by ramkikk66(644) About Me  (Show Source):
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Daniel has 63 coins which are quarters and dimes in his coin jar. He knows that he has $9.45. How many quarters does he have?

Ans:
Let the number of quarters be x
Then the number of dimes = (63 - x)
Value of x quarters = 25%2Ax cents
Value of (63 - x) dimes = 630+-+10%2Ax cents
Total = 25%2Ax+%2B+630+-+10%2Ax+=+945 cents

i.e. 15%2Ax+=+315 or x+=+315%2F15+=+21
No. of quarters = 21
No. of dimes = 63 - 21 = 42

Check: Total = 21*25 + 42*10 = 525 + 420 = 945 - correct!