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?

1 answer

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.