Darleen pays for some video games with two twenty-dollar bills. The total cost of the video games is \( \$ 37.68 \). The cashier is out of quarters. What is one way the cashier could give Darleen her change? The cashier could give her \( \nabla \) dollar bill(s), \( \nabla \) dimes, and \( \nabla \) pennies.

To determine how the cashier could give Darleen her change, we first need to calculate the total amount she paid and then find out how much change she should receive. 1. **Calculate the total amount paid:** Darleen pays with two twenty-dollar bills: \[ \text{Total Paid} = 2 \times 20 = 40 \text{ dollars} \] 2. **Calculate the change to be given:** The total cost of the video games is \( 37.68 \) dollars. Therefore, the change is: \[ \text{Change} = \text{Total Paid} - \text{Total Cost} = 40 - 37.68 = 2.32 \text{ dollars} \] 3. **Determine how to give the change:** The cashier needs to give Darleen \( 2.32 \) dollars in change. Since the cashier is out of quarters, we can only use dollar bills, dimes, and pennies. - **Dollar bills:** The maximum number of dollar bills that can be given without exceeding \( 2.32 \) is 2. - **Dimes:** After giving 2 dollar bills, the remaining change is: \[ 2.32 - 2.00 = 0.32 \text{ dollars} \] This can be given as dimes and pennies. Since each dime is worth \( 0.10 \) dollars, we can give 3 dimes: \[ 3 \times 0.10 = 0.30 \text{ dollars} \] - **Pennies:** After giving 3 dimes, the remaining change is: \[ 0.32 - 0.30 = 0.02 \text{ dollars} = 2 \text{ pennies} \] 4. **Final breakdown of the change:** - Dollar bills: 2 - Dimes: 3 - Pennies: 2 Thus, one way the cashier could give Darleen her change is: - \( 2 \) dollar bill(s), \( 3 \) dime(s), and \( 2 \) penny(ies).