Question

Liz works as a lifeguard at her community pool and at the beach. On Saturday, she worked at the pool for 6 hours and earned $46.50. On Sunday, she worked at the beach for 5 hours and earned $46.25. How much more per hour did Liz earn at the beach than at the pool?

Answer 1

To find out how much more per hour Liz earned at the beach than at the pool, we'll first calculate her hourly wage for each location.

**1. Calculate Liz's hourly wage at the pool:**
- Total earnings at the pool = $46.50
- Total hours worked at the pool = 6 hours

Hourly wage at the pool = Total earnings / Total hours worked
\[
\text{Hourly wage at the pool} = \frac{46.50}{6} = 7.75 \text{ dollars per hour}
\]

**2. Calculate Liz's hourly wage at the beach:**
- Total earnings at the beach = $46.25
- Total hours worked at the beach = 5 hours

Hourly wage at the beach = Total earnings / Total hours worked
\[
\text{Hourly wage at the beach} = \frac{46.25}{5} = 9.25 \text{ dollars per hour}
\]

**3. Calculate the difference in hourly wages:**
To find out how much more per hour Liz earned at the beach than at the pool, subtract the hourly wage at the pool from the hourly wage at the beach.
\[
\text{Difference} = \text{Hourly wage at the beach} - \text{Hourly wage at the pool}
\]
\[
\text{Difference} = 9.25 - 7.75 = 1.50 \text{ dollars}
\]

Thus, Liz earned **$1.50 more per hour** at the beach than at the pool.