SOLUTION: Joy has $1.75 in her pocket made up of 27 nickels and dimes. How many of each type of coin does she have?

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Question 1013305: Joy has $1.75 in her pocket made up of 27 nickels and dimes. How many of each type of coin does she have?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number of nickels and dimes she has, n and d. Then we have
n + d = 27 and the value equation is
5n + 10d = 175 (use cents)
Now multiply the top one by 5 and subtract from the second...we get...
5n + 10d = 175
-(5n + 5d = 135)
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5d = 40
d = 8 dimes
n = 19 nickels