SOLUTION: you have 15 coins in your pocket that are either quarters or nickles. the total $2.75. how many of each coin do you have?

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Question 215003: you have 15 coins in your pocket that are either quarters or nickles. the total $2.75. how many of each coin do you have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Q+N=15 Q=15-N
.25Q+.05N=2.75
.25(15-N)+.05N=2.75
3.75-.25N+.05N=2.75
-.2N=2.75-3.75
-.2N=-1.000
N=-1.00/-.2
N=5 NUMBER OF NICJLES.
Q+5=15
Q=15-5
Q=10 NUMBER OF QUARTERS.
PROOF:
.25*10+.05*5=2.75
2.50+.25=2.75
2.75=2.75