Maria has 6 dimes and 4 quarters in her pocket. What is the ratio of the total value of her dimes to the total value of her quarters?
- 3 to 2
- 2 to 3
- 3 to 5 (correct answer)
- 60 to 100
Explanation: First, calculate the total value of the dimes and quarters. A dime is worth 10 cents, so 6 dimes = 6 × 10 = 60 cents. A quarter is worth 25 cents, so 4 quarters = 4 × 25 = 100 cents. The ratio of the value of dimes to the value of quarters is 60 to 100. The greatest common factor of 60 and 100 is 20. Simplify the ratio: 60 ÷ 20 = 3 and 100 ÷ 20 = 5. The simplified ratio is 3 to 5.