Question

the coins in the stores cash register total $4.00. The cashier register contains only nickels, dimes, and quarters. There is an equal number of each coin. How many dimes are in the cash register?

Answer 1

There are 10 dimes.

Explanation:

Let n = number of nickles, d = number of dimes, and q = number of quarters.

An equal number, x, of each coin is equal to $4.00 or 400 cents:

5n + 10d + 25q = 400

Since there are the same number of each, rewrite the equation and solve for x:

5x + 10x + 25x = 400

40x = 400

x = 10 of each coin.

Proof:

5n + 10d + 25q = 400

5(10) + 10(10) + 25(10) = 400

50 + 100 + 250 = 400

400 = 400

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