SOLUTION: Byron has 72 coins in his piggy bank. The piggy bank contains only dimes quarters.If he has $14.70 in his bank, write and solve an equation to find the number of dimes and quarters

Question 1007011: Byron has 72 coins in his piggy bank. The piggy bank contains only dimes quarters.If he has $14.70 in his bank, write and solve an equation to find the number of dimes and quarters.
Thanks in advance.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers of dimes and quarters, d and q.
Thus we have
d + q = 72 and the value equation is
10d + 25q = 1470 (we work in cents)
Now multiply the top equation by 10 and subtract it from the second one...
10d + 25q = 1470
-(10d + 10q = 720)
------------------
15q = 750
Now divide by 15 and get
q = 50 quarters and thus we have
d = 22 dimes
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