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Bunuel
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We are given:
  • A worker is paid d dollars/hour for the first 8 hours.
  • For the next hours, she is paid c dollars/hour.
  • She works 12 hours total in one day.

Step 1: Calculate total earnings
  • First 8 hours: 8×d=8d
  • Next 4 hours (12 - 8): 4×c=4c
  • Total earnings = 8d+4c

Step 2: Calculate average hourly wage
  • Total hours = 12
Average hourly wage= (8d+4c)/12
Simplify:
=4(2d+c)/12 = (2d+c)/3

Correct Answer: A. (2d + c)/3
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Bunuel
A worker is paid d dollars an hour for the first 8 hours she works in a day. For every hour after the first 8 hours, she is paid c dollars an hour. If she works 12 hours in one day, what is her average hourly wage for that day?

A. (2d + c)/3

B. 8d + 4c

C. (8d + 121c)/12

D. (4d + 8c)/12

E. d + c/3


­

Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
Per hour charge = d dollars/ hour.

For 8 hours = 8d dollars.

For hours after the 8 hours , we are paid c dollars per hour.

4 hours (12-8) extra is the worked hours.

Charge = 4*c dollars.

Total charge = (8d+4c) dollars

Average hourly rate = (8d+4c) /12 = (2d+c)/3

Option A
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