Question

A collection of nickels and quarters is worth $4.65. There are 3 more nickels than quarters. Use a system of equations to determine how many coins are in the collection.
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Answer 1

you have 3 more nickels than quarters, so however many quarters there are , add 3
to see how many nickels you have. there are x quarters and x+3 nickels in $4.65.

x(0.25) + (x+3)(0.05) = 4.65 now multiply everything.

0.25x + 0.05x + 0.15 = 4.65 combine the numbers on one side, and variables on the other side.

0.30x = 4.50, so divide both sides by .30.

x = 15 so there are 15 quarters and 18 nickels.

Answer 2

Thx!

Answer 3

mhm