Acollection of dimes and quarters is worth $6.50. there are 35 coins in all. how many dimes are there. work it out with two equations.

D + q = 35d = 35 - q
0.10d + 0.25q = 6.50

0.10(35 - q) + 0.25q = 6.50
3.50 - 0.10q + 0.25q = 6.50
-0.10q + 0.25q = 6.50 - 3.50
0.15q = 3
q = 3 / 0.15
q = 20 <=== 20 quarters

d + q = 35
d + 20 = 35
d = 35 - 20
d = 15 <=== 15 dimes

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