SOLUTION: Barbara has some dimes and quarters. If she has 29 coins worth a total of $3.95, how many of each type of coin does she have? Dimes? Quarters?

Question 1028067: Barbara has some dimes and quarters. If she has
29 coins worth a total of
$3.95, how many of each type of coin does she have?
Dimes?
Quarters?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers of dimes and quarters, d and q. Then we can write
d + q = 29 and the value equation
10d + 25q = 395 (we work in cents)
Now multiply the top one by 10 and subtract...we get
10d + 25q = 395
-(10d + 10q = 290)
-------------------
15q = 105
q = 7 quarters which means
d = 22 dimes
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