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James works from 2pm until 8.30pm on both Thursday and Friday - OCR - GCSE Maths - Question 17 - 2018 - Paper 1

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Question 17

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James works from 2pm until 8.30pm on both Thursday and Friday. He is paid £12 per hour. On Saturday he is paid £12 \frac{1}{2} times this hourly pay. He works for 5 ... show full transcript

Worked Solution & Example Answer:James works from 2pm until 8.30pm on both Thursday and Friday - OCR - GCSE Maths - Question 17 - 2018 - Paper 1

Step 1

Calculate hours worked on Thursday and Friday

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Answer

James works from 2pm to 8:30pm, which is:

  • From 2:00 pm to 8:00 pm = 6 hours
  • From 8:00 pm to 8:30 pm = 0.5 hours

Total hours worked = 6 + 0.5 = 6.5 hours

James works 6.5 hours on both Thursday and Friday: Total hours for both days = 6.5 * 2 = 13 hours.

Step 2

Calculate earnings for Thursday and Friday

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Answer

Earnings for Thursday and Friday:

Earnings = hours worked * hourly wage

Earnings for both days = 13 hours * £12 = £156.

Step 3

Calculate Saturday's hourly pay

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Answer

On Saturday, James's hourly pay is:

Hourly pay = £12 \times \frac{3}{2} = £18.

Step 4

Calculate earnings for Saturday

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Answer

James works for 5 hours on Saturday:

Earnings for Saturday = 5 hours * £18 = £90.

Step 5

Calculate total earnings for the three days

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Answer

Total earnings = Earnings from Thursday and Friday + Earnings from Saturday

Total earnings = £156 + £90 = £246.

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