Hello! To set up a system of equations to determine the number of quarters (q) and dimes (d) Charlie has, we can use the following information:
1. Charlie has 6 more quarters than dimes.
2. The total value of the coins is $9.20.
Based on this, we can set up two equations:
Equation 1: q = d + 6
This equation represents the fact that Charlie has 6 more quarters than dimes.
Equation 2: 0.25q + 0.10d = 9.20
This equation represents the total value of the coins in the jar. Since each quarter is worth $0.25 and each dime is worth $0.10, we multiply the number of quarters (q) by $0.25 and the number of dimes (d) by $0.10, and the sum of these values equals $9.20.
So, the system of equations is:
1. q = d + 6
2. 0.25q + 0.10d = 9.20
You can solve this system of equations to find the values of q and d, which will give you the number of quarters and dimes Charlie has in the jar.
