SOLUTION: Bruce has $5.50 in dimes and quarters. He has eight more quarters than dimes. How many quarters does he have?

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Question 133542: Bruce has $5.50 in dimes and quarters. He has eight more quarters than dimes. How many quarters does he have?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let q=number of quarters, d=number of dimes
q=d+8
.10d+.25(d+8)=5.50 Substitute d+8 for q.
.1d+.25d+2=5.5
.35d+2=5.5
.35d+2-2=5.5-2
.35d=3.5
.35d/.35=3.5/.35
d=10
q=18
.
Check:
10*.10=1.00
18*.25=4.50
4.50+1.00=5.50
.
Ed