SOLUTION: Ron has 14 coins with a total value of $1.70. The coins are nickels and quarters. How many of each coin does he have?

Question 507685: Ron has 14 coins with a total value of $1.70. The coins are nickels and quarters. How many of each coin does he have?

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
n = number of nickels
5n = value of nickels in cents
.
q = number of quarters
25q = value
.
5n + 25q = 170 cents
.
n + q = 14
so
n = 14-q
.
5(14-q) +25q = 170
70 -5q + 25q= 170
20q = 100
q = 5
.
n = 14-q
n = 9
.
Check the value
.
25(5) = 125
5(9) = 45
125 + 45 = 170
Correct.
.
Answer: 5 quarters and 9 nickels.
.
Done.
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