Question

You have a coin collection of nickels and dimes containing 63 coins. If you have

$5.05, how may of each coin do you have?

Answer 1

Answer: 25 nickels

Explanation:

EQUATIONS:

quantity: n + d = 63

value: 5n + 10d = 505

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Divide thru the 2nd equation by 5 to get:

n + 2d = 101

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Subtract that from the 1st equation:

-d = -38

d = 38 (# of dimes)

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Substitute that into n+d=63 to solve for "n":

n + 38 = 63

n = 25 (# of nickels)