SOLUTION: A collection of 60 dimes and nickels is worth $4.80. How many dimes are there (please include step by step instructions on solving)

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Question 278414: A collection of 60 dimes and nickels is worth $4.80. How many dimes are there (please include step by step instructions on solving)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

We have two unknowns nickels and dimes
so we need two equations.
how many coins?
n+d=60
what are they worth?
5n+10d=480
n+d=60
n=60-d
substitute
d=36 and n=24
check
5*24+10*36=480
220+360=480
ok