Video: AQA GCSE Mathematics Foundation Tier Pack 3 • Paper 2 • Question 5

Pelumi earns £11.60 per hour as a lifeguard. He works for 47 weeks of the year. Per week, he works for 7 hours on a Saturday and 6 hours across two evenings. He has to pay tax if he earns more than £11850 in a year. How much more can he earn, per year, before he has to pay tax? You must show your working.

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Video Transcript

Pelumi earns 11 pounds 60 per hour as a lifeguard. He works for 47 weeks of the year. Per week, he works for seven hours on a Saturday and six hours across two evenings. He has to pay tax if he earns more than 11850 pounds in a year. How much more can he earn, per year, before he has to pay tax? You must show your working.

There is a lot of information in this question. So it is important that we read it carefully and pick out the key parts. Our first step is to work out the number of hours that he works per week. He works seven hours on a Saturday and six hours across two evenings. Seven plus six is equal to 13. Therefore, Pelumi works for 13 hours per week. We’re told that he earns 11 pounds and 60 pence per hour. Therefore, to calculate the amount of money he earns per week, we need to multiply 11 pounds 60 by 13. Typing this into our calculator gives us an answer at 150 pounds and 80 pence. This is the amount that Pelumi earns per week.

We are told that he works for 47 out of the 52 weeks of the year. In order to calculate his total earnings for the year we need to multiply 150 pounds and 80 pence by 47. Typing this into the calculator gives us an answer of 7087 pounds and 60 pence. Pelumi’s total pay for the year is 7087 pounds and 60 pence.

We are told that he will pay tax if he earns more than 11850 pounds. We need to calculate how much more he can earn before he starts having to pay tax. We need to subtract the amount that he currently earns per year from 11850. 11850 pounds minus 7087 pounds and 60 pence is equal to 4762 pounds and 40 pence. This means that Pelumi can earn 4762 pounds and 40 pence more per year before he has to pay any tax.

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