Aaron works

3 1/2
hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?

1 answer

To calculate Aaron's next paycheck after his raise, let's first determine his current pay and then calculate the new pay with the raise.

  1. Calculate Aaron's current pay:

    • Hours worked per Saturday: \( 3 \frac{1}{2} \) hours = \( 3.5 \) hours.
    • Hourly rate: $7.25 per hour.
    • Weekly pay: \[ 3.5 , \text{hours} \times 7.25 , \text{dollars/hour} = 25.375 , \text{dollars} \]
    • Since he is paid every four weeks, we multiply the weekly pay by 4 to find the pay for four weeks: \[ 25.375 , \text{dollars/week} \times 4 , \text{weeks} = 101.50 , \text{dollars} \]
  2. Calculate the new hourly rate after the raise:

    • New hourly rate: \[ 7.25 , \text{dollars} + 1.00 , \text{dollar} = 8.25 , \text{dollars/hour} \]
  3. Calculate the new weekly pay:

    • New weekly pay: \[ 3.5 , \text{hours} \times 8.25 , \text{dollars/hour} = 28.875 , \text{dollars} \]
    • Now, calculate the pay for four weeks with the new hourly rate: \[ 28.875 , \text{dollars/week} \times 4 , \text{weeks} = 115.50 , \text{dollars} \]

Thus, Aaron will be paid $115.50 in his next paycheck.