SOLUTION: If Jason has 12 nickels and quarters in his pocket, and they have a combined value of 200 cents, how many of each coin does he have?

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Question 1136910: If Jason has 12 nickels and quarters in his pocket, and they have a combined value of 200 cents, how many of each coin does he have?
Answer by MathLover1(20850) About Me  (Show Source):
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If Jason has 12 nickels and quarters in his pocket, and they have a combined value of 200 cents, how many of each coin does he have?
let nickels be n and quarters q
If Jason has 12 nickels and quarters in his pocket, we have
n%2Bq=12 ......solve for n
n=12-q......eq.1

if they have a combined value of 200 cents, and since 1n=5c and 1q=25c, we have

5n%2B25q=200......substitute n from eq.1
5%2812-q%29%2B25q=200......solve for q
60-5q%2B25q=200
20q=200-60
20q=140
q=140%2F20
q=7
go to n=12-q......eq.1, substitute q
n=12-7
n=5
so, Jason has 5 nickels and 7 quarters