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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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James works from 2pm until 8.30pm on both Thursday and Friday. He is paid £12 per hour. On Saturday he is paid £\frac{3}{2} times this hourly pay. He works for 5 hou... 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. This is a total of 6.5 hours each day:

6.5 hours/day × 2 days = 13 hours.

Step 2

Calculate earnings for Thursday and Friday

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Answer

James earns £12 per hour. Therefore, to find his earnings for the 13 hours worked:

Total earnings = 13 hours × £12/hour = £156.

Step 3

Calculate hourly pay for Saturday

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Answer

On Saturday, he is paid £\frac{3}{2} of his normal rate:

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

Step 4

Calculate earnings for Saturday

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Answer

James works for 5 hours on Saturday:

Earnings on Saturday = 5 hours × £18/hour = £90.

Step 5

Calculate total earnings for all 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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