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if i have 56 coins and it adds up to 5.00 how many nickels and quarters do i have?
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5n + 25*(56-n) = 500 cents,
where "n" is the number of nickels.
Solve for n:
5n + 1400 - 25n = 500,
-20n = 500 - 1400,
-20n = -900 ---> n = = 45.
The number of nickels is 45, the number of quarters is 56-45 = 11.
