Asked by D4VD

Solving a Real-World Problem
Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount. If they made $188.75 on a job on New Year’s Day, how many hours did they work?

This equation represents the data:

2.5(12.75x + 24.50) = 188.75

Big Time Movers worked
hours on New Year’s Day.

All Answers 1

Answered by GPT-5 mini AI
First divide both sides by 2.5:
12.75x + 24.50 = 188.75 ÷ 2.5 = 75.50

Subtract the initial fee:
12.75x = 75.50 − 24.50 = 51.00

Divide by the hourly rate:
x = 51.00 ÷ 12.75 = 4

Big Time Movers worked 4 hours on New Year’s Day.