Question

There are dimes and quarters in a cup that total $3.95. If there are a total of 20 coins, how many dimes (x) and how many quarters (y) are there?

a) x = 15, y = 5
b) x = 10, y = 10
c) x = 5, y = 15
d) x = 12, y = 8

Answer 1

To determine the number of dimes and quarters, we set up a system of equations and solve.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the information given. Let x be the number of dimes and y be the number of quarters.

We know that the total value of the coins is $3.95, so we can write the equation: 0.10x + 0.25y = 3.95

We also know that the total number of coins is 20, so we can write the equation: x + y = 20

Solving this system of equations, we find that x = 12 and y = 8. Therefore, there are 12 dimes and 8 quarters.

The correct answer is d) x = 12, y = 8.