SOLUTION: hank has a collection of dimes and quarters worth 4.50 he has 4 more quarters than dimes find the number of quarters

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Question 167094: hank has a collection of dimes and quarters worth 4.50 he has 4 more quarters than dimes find the number of quarters
Answer by nerdybill(7384) About Me  (Show Source):
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hank has a collection of dimes and quarters worth 4.50 he has 4 more quarters than dimes find the number of quarters
.
Let d = number of quarters
then
d+4 = number of quarters
.
.10d + .25(d+4) = 4.50
.10d + .25d + 1 = 4.50
.10d + .25d = 3.50
.35d = 3.50
d = 10
.
quarters:
d+4 = 10+4 = 14 (number of quarters)
.