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Harry has a job - OCR - GCSE Maths - Question 11 - 2019 - Paper 1

Question 11

Harry has a job. On Friday, he is paid £8.50 per hour. On Saturday, he is paid 1 dfrac{1}{2} times that rate. He works for 4 hours on Friday. He works from 8am until... show full transcript

Worked Solution & Example Answer:Harry has a job - OCR - GCSE Maths - Question 11 - 2019 - Paper 1

Step 1

Calculate Harry's Earnings on Friday

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Answer

On Friday, Harry is paid £8.50 per hour. Since he works for 4 hours, his earnings for that day can be calculated as:

Earnings_{Friday} = Hourly Rate imes Hours Worked = £8.50 imes 4 = £34.00

Step 2

Determine Saturday's Hourly Rate

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Answer

On Saturday, he is paid 1 dfrac{1}{2} times his Friday rate. This implies:

Hourly Rate_{Saturday} = rac{3}{2} imes £8.50 = £12.75

Step 3

Calculate Harry's Earnings on Saturday

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Answer

On Saturday, Harry works from 8am until 1pm, which totals 5 hours. His earnings for Saturday are calculated as follows:

Earnings_{Saturday} = Hourly Rate_{Saturday} imes Hours Worked = £12.75 imes 5 = £63.75

Step 4

Total Earnings Calculation

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Answer

To find out how much Harry earns in total for both days, we sum his earnings from Friday and Saturday:

Total Earnings = Earnings_{Friday} + Earnings_{Saturday} = £34.00 + £63.75 = £97.75

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