Question

You have decided to cash in all of the coins you have been saving for the summer. In total you have $7.20. You only have dimes and quarters, and you know that you have twice as many dimes as you do quarters. How many quarters do you have in total? How many dimes? (HINT: think about what you know of dimes and quarters!)

Answer 1

The number of quarters in total = 16 quarters

The number dimes = 32 dimes

Explanation:

The given information are;

The total amount of money in held = $7.20

The denomination of the money held = Dimes and quarters

The number dimes = 2 × The number of quarters

Given that a dime = 10 cents = $0.1

A dollar = 25 cents = $0.25

Let the number of quarters in the sum of money = X

Therefore, we have;

X × $0.25 + 2 × X × $0.1 = $7.20

X × $0.25 + X × $0.2 = $7.20

X × $0.45 = $7.20

X = $7.20/$0.45 = 16

Therefore, the number of quarters = 16

The number of quarters in total = 16 quarters

The number dimes = 2 × The number of quarters = 2 × 16 = 32 dimes

The number dimes = 32 dimes.