Question

Monica keeps a supply of dimes and quarters in her car to pay for highway tolls. A week's supply of two coins contains 10 more dimes than quarters and totals $11.50. How many quarters does Monica spend on highway tolls in one week?

A. 20 quarters
B. 30 quarters
C. 40 quarters
D. 50 quarters

Answer 1

Monica spends 30 quarters on highway tolls in one week.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information. Let's assume the number of quarters is x. Since Monica has 10 more dimes than quarters, the number of dimes would be x + 10. The total amount of money in cents can be represented as: 25x + 10(x + 10) = 1150. Simplifying this equation, we get: 35x + 100 = 1150. Subtracting 100 from both sides gives us: 35x = 1050. Dividing both sides by 35, we find that x = 30. Therefore, Monica spends 30 quarters on highway tolls in one week.