SOLUTION: I need help working this problem. 1. A student assistant at a university copy center has some nickels and dimes to use for change when students make copies. The value of the coins

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Question 157028: I need help working this problem.
1. A student assistant at a university copy center has some nickels and dimes to use for change when students make copies. The value of the coins is $7.40. There are 26 more dimes than nickels. How many of each kind of coin are there?


This is not from a text book.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A student assistant at a university copy center has some nickels and dimes to use for change when students make copies. The value of the coins is $7.40. There are 26 more dimes than nickels. How many of each kind of coin are there?
.
Let N = number of nickels
then from:"There are 26 more dimes than nickels"
N+26 = number of dimes
.
Total value given is $7.40
.
Our equation:
.05N + .10(N+26) = 7.40
.05N + .10N + 2.6 = 7.40
.15N + 2.6 = 7.40
.15N = 4.8
N = 4.8/.15
N = 32 (number of nickels)
.
dimes = N+26 = 32+26 = 58 (number of dimes)