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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 the regular 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.

Verified Answer :

texaschic101

2.5(12.75x + 24.50) = 188.75
31.875x + 61.25 = 188.75
31.875x = 188.75 - 61.25
31.875x = 127.50
x = 127.50 / 31.875
x = 4....they worked 4 hrs

The number of hours did they work is 4 hours.

Given that,

  • The initial fee of $24.50 plus $12.75 an hour.
  • And, it charged 2.5 times the regular amount.
  • The total amount is $188.75.

Based on the above information, the calculation is as follows:

2.5(12.75x + 24.50) = 188.75

31.875x + 61.25 = 188.75

31.875x = 188.75 - 61.25

31.875x = 127.50

\(x = 127.50 \div 31.875\)

x = 4 hours

Therefore we can conclude that the number of hours did they work is 4 hours.

Learn more: brainly.com/question/3530056

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