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Hiro and Ling work in a restaurant - OCR - GCSE Maths - Question 10 - 2023 - Paper 2

Question 10

Hiro and Ling work in a restaurant. Hiro is paid £9 per hour and Ling is paid £10 per hour. One week, Hiro works a total of 30 hours. Ling earns £50 more than Hiro t... show full transcript

Worked Solution & Example Answer:Hiro and Ling work in a restaurant - OCR - GCSE Maths - Question 10 - 2023 - Paper 2

Step 1

Calculate Hiro's earnings for the week

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Answer

Hiro earns £9 per hour. Since he works 30 hours, his total earnings for the week can be calculated as follows:

ext{Hiro's earnings} = ext{Hourly rate} imes ext{Hours worked} = 9 imes 30 = £270

Step 2

Determine Ling's earnings from Hiro's earnings

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Answer

According to the problem, Ling earns £50 more than Hiro. Thus, Ling's earnings are:

ext{Ling's earnings} = ext{Hiro's earnings} + £50 = 270 + 50 = £320

Step 3

Calculate the number of hours Ling works

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Answer

Ling earns £10 per hour, so to find out how many hours Ling worked, we can rearrange the earnings equation:

ext{Hours worked by Ling} = rac{ ext{Ling's earnings}}{ ext{Hourly rate}} = rac{320}{10} = 32 ext{ hours}

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