SOLUTION: A bank teller has $22.55 in quarters and dimes. There are 58 more quarters than dimes. How many dimes does he have?

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Question 672738: A bank teller has $22.55 in quarters and dimes. There are 58 more quarters than dimes. How many dimes does he have?

Answer by nerdybill(7384) About Me  (Show Source):
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A bank teller has $22.55 in quarters and dimes. There are 58 more quarters than dimes. How many dimes does he have?
.
Let d = number of dimes
then because "There are 58 more quarters than dimes" we have
d+58 = number of quarters
.
.10d + .25(d+58) = 22.55
.10d + .25d+14.5 = 22.55
.35d+14.5 = 22.55
.35d = 8.05
d = 23 (number of dimes)
.
number of quarters:
d+58 = 23+58 = 81