Eli Moran is an accountant at J & R Tax Prep, and during tax season he works overtime to meet the demand. He is paid $32 per hour for the frst 40 hours and $48 per hour for each hour in the week worked over 40 hours. To save for a nice vacation, Eli’s goal is to earn $1520 per week. How many hours over-time per week will he need to achieve his goal?

Answer :

The value of number of hours overtime per week will he needed to achieve his earning goal = 5 hours

Step-by-step explanation:

Payment for first 40 hours = $ 32 per hour

Payment over 40 hours = $ 48 per hour

Eli’s goal is to earn = $ 1520 per week ------- (1)

Total payment for first 40 hours = 32 × 40 = $ 1280 ------ (2)

Suppose person worked hours in overtime, then

The total payment for hours = 48 ×  = $ 48 ------------ (3)

Total earnings of the person in a week ⇒ $ 1280 +  $ 48 = $ 1520

⇒ 1280 + 48 = 1520

⇒ 48 = 1520 - 1280

⇒ 48 = 240

⇒ = 5 hours

This is the value of number of hours overtime per week will he needed to achieve his earning goal.