Question 1054602: Devyn has 108 coins in nickels and quarters worth $12.60. Write and solve an equation to determine how many of each coin she has. Answer by ikleyn(53763) (Show Source):
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Devyn has 108 coins in nickels and quarters worth $12.60. Write and solve an equation to determine how many of each coin she has.
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Let "n" be the number of nickels.
Then the number of quarters is (108-n).
Nickels contribute 5n cents into the total.
Quarters contribute 25*(108-n) cents into the total.
The "value" equation is
5n + 25(108-n) = 1260.
Simplify and solve for n:
5n + 2700 - 25n = 1260, or
-20n = 1260 - 2700,
-20n = -1440 ---> n = = 72.
Answer. The number of nickels is 72.
The number of quarters is 108-72 = 36.
