SOLUTION: i have a jar with 95 coins in it they are quarters and nickles the total of the coins adds up to $13.75 How many of each?

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Question 905410: i have a jar with 95 coins in it
they are quarters and nickles
the total of the coins adds up to $13.75
How many of each?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n+q=95,
0.05*n+0.25*q=13.75
n=95-q
0.05*(95-q)+0.25*q=13.75
4.75-0.05q+0.25*q=13.75
0.2*q=9.0
q=45.0
n=95-q
n=50 at 0.05 and q=45 at 0.25
check
50+45=95
0.05*n+0.25*q=13.75
0.05*50+0.25*45=13.75
2.5+11.25=13.75
13.75=13.75
ok