SOLUTION: I have $ 2.90 in 30 nicles and dimes, how many are nicles and how many are dimes

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Question 227018: I have $ 2.90 in 30 nicles and dimes, how many are nicles and how many are dimes
Answer by nerdybill(7384) About Me  (Show Source):
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I have $ 2.90 in 30 nicles and dimes, how many are nicles and how many are dimes
.
Let n = number of nickels
then
30-n = number of dimes
.
.05n + .10(30-n) = 2.90
.05n + 3 - .10n = 2.90
3 - .05n = 2.90
-.05n = -.10
n = 2 (number of nickels)
.
Number of dimes:
30-n = 30-2 = 28