Question 1059482: Yoko has 4.60 dollars in quarters and nickels. She has 24 coins all together. How many of each coin does she have? Answer by ikleyn(52812) (Show Source):
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Yoko has 4.60 dollars in quarters and nickels. She has 24 coins all together. How many of each coin does she have?
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Let "n" be the number of nickels.
Then the number of quarters is (24-n).
The nickels contribute 5n cents in total.
The quarters contribute 25*(24-n) cents in total.
Altogether, the 24 coins is worth 5n + 25*(24-n).
Therefore, the equation is
5n + 25*(24-n) = 460 (cents).
Simplify and solve:
5n + 600 - 25n = 460,
-20n = 460 - 600,
-20n = -140,
n = {{(-140)/(-20)}}} = 7.
Answer. There are 7 nickels and 24-7 = 17 quarters in the collection.
Check. 7*5 + 17*25 = 460. OK.
