SOLUTION: In a group of quarters and nickels, there are four more nickels than quarters. How many nickels and quarters are there if the coins are worth $2.30?

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Question 314177: In a group of quarters and nickels, there are four more nickels than quarters. How many nickels and quarters are there if the coins are worth $2.30?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N be the number of nickels, Q the number of quarters.
1.N=4%2BQ
2.5N%2B25Q=230
Multiply eq. 1 by (-5) and add to eq. 2,
-5N%2B5N%2B25Q=-20-5Q%2B230
25Q=-5Q%2B210
30Q=210
highlight%28+Q=7%29
Then from eq. 1,
N=4%2BQ
N=4%2B7
highlight%28+N=11%29