Question

8. Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind

of coin does she have?
let x=dimes
let y=quarters

Answer 1

To find the number of dimes and quarters Sue has, we can set up a system of equations using the given information. By solving this system, we find that Sue has 60 dimes and 40 quarters.

Step-by-step explanation:

In order to solve the problem, we can set up a system of equations using the given information.

1. Let x represent the number of dimes.
2. Let y represent the number of quarters.
3. We know that the total number of coins is 100, so we can write the equation x + y = 100.
4. We also know that the total value of the coins is $21.40. Since a dime is worth 10 cents and a quarter is worth 25 cents, we can write the equation 10x + 25y = 2140.
5. We can now solve the system of equations to find the values of x and y.
6. Using substitution or elimination, we find that x = 60 and y = 40.
7. Therefore, Sue has 60 dimes and 40 quarters.