Coin Word Problems – Solving Coin Related Math Problems

Here is a review all a variety of coin related word problems involving algebra. Coin problems usually involve pennies, nickels, dimes, quarters or half dollars. Examples and solutions are shown to help you learn how to solve various types of coin word problem.

Coin Word Problems (2 variable – addition)

A man has two more nickels than dimes, and has $1.15 in total. How many coins of each
kind does he have?

Let N = Nickels, Let D = Dimes

5N+10D = 115 you can use decimal form or "cents" form which may be easier

N = D + 2

substituting...

5(D+2)+10D = 115

5D+10+10D = 115

15D = 105

D = 7

Therefore, Dimes = 7 and Nickels = 9

Let’s check by plugging the numbers into the original formula:

5*9 + 10*7=45+70=105

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