SOLUTION: bill has a collection of 65 nickels and dimes. their total worth is $5.50. find how many nickels and dimes bill has

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Question 300724: bill has a collection of 65 nickels and dimes. their total worth is $5.50. find how many nickels and dimes bill has
Answer by nerdybill(7384) About Me  (Show Source):
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bill has a collection of 65 nickels and dimes. their total worth is $5.50. find how many nickels and dimes bill has
.
Let n = number of nickels
then
65-n = number of dimes
.
.05n + .10(65-n) = 5.50
.05n + 6.5 - .10n = 5.50
6.5 - .05n = 5.50
-.05n = -1
n = 20 (number of nickels)
.
number of dimes:
65-n = 65-20 = 45