SOLUTION: Luke has $1.65 in his pocket in nickles and quarters. He has 13 coins (nickles and quarters) HOw many nickles does Luke have and How many quarters?

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Question 351463: Luke has $1.65 in his pocket in nickles and quarters. He has 13 coins (nickles and quarters) HOw many nickles does Luke have and How many quarters?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N be the number of nickels, Q quarters.
1.N%2BQ=13
2.5N%2B25Q=165
Multiply eq. 1 by (-5) and add to eq. 2,
-5N-5Q%2B5N%2B25Q=-65%2B165
20Q=100
highlight%28Q=5%29
Then use either equation to solve for N.
N%2B5=13
highlight%28N=8%29
He has 8 nickels and 5 quarters.