dick and Pam are paid \( \$ 61.75 \) for their work. Nick worked 3.5 hours, and Pam worked 3 hours. They split the money Nick and Pam are paid \( \$ \square \) for each hour worked the amount of time each of them worked. How much is Nick's share of the money? Explain.

To determine Nick's share of the money, we first need to calculate the total number of hours worked by both Nick and Pam, and then find out how much they are paid per hour. 1. **Calculate the total hours worked:** - Nick worked 3.5 hours. - Pam worked 3 hours. - Total hours worked = \( 3.5 + 3 = 6.5 \) hours. 2. **Calculate the hourly rate:** - They are paid a total of \( \$61.75 \). - Hourly rate = Total payment / Total hours worked - Hourly rate = \( \frac{61.75}{6.5} \). Now, let's calculate the hourly rate: \[ \text{Hourly rate} = \frac{61.75}{6.5} \approx 9.5 \] 3. **Calculate Nick's share:** - Nick worked 3.5 hours, so his share of the payment is: \[ \text{Nick's share} = \text{Hourly rate} \times \text{Hours worked by Nick} \] \[ \text{Nick's share} = 9.5 \times 3.5 \] Now, let's calculate Nick's share: \[ \text{Nick's share} = 9.5 \times 3.5 = 33.25 \] Thus, Nick's share of the money is \( \$33.25 \).