James works from 2pm until 8.30pm on both Thursday and Friday - OCR - GCSE Maths - Question 17 - 2018 - Paper 1
Question 17
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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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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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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Total earnings = earnings from Thursday and Friday + earnings from Saturday: