Lillian works 7 hours each day for 5 days a week - OCR - GCSE Maths - Question 9 - 2017 - Paper 1
Question 9
Lillian works 7 hours each day for 5 days a week.
She earns £420 each week.
(a) How much does she earn per hour?
(b) Lillian decides that she is going to work 7 ho... show full transcript
Worked Solution & Example Answer:Lillian works 7 hours each day for 5 days a week - OCR - GCSE Maths - Question 9 - 2017 - Paper 1
Step 1
How much does she earn per hour?
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Answer
To find Lillian's hourly wage, we first determine the total number of hours she works in a week. She works 7 hours per day for 5 days:
Next, we calculate her hourly rate by dividing her weekly earnings by the total hours worked:
extHourlyrate=35exthours£420=£12
Step 2
Explain why a reduction of 20% is reasonable.
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Answer
A reduction of 20% is reasonable because it correlates to the decrease in the number of days Lillian will be working. Since she is moving from working 5 days to only 4 days, this change in schedule leads to a proportional decrease in her pay. This reflects the fact that she will be earning less by working fewer hours.
Step 3
How much will Lillian earn working 4 days a week?
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Answer
First, we calculate her new weekly earnings after a 20% reduction. Lillian's original weekly earnings are £420, and we find 20% of this amount:
20 ext{% of } £420 = 0.2 imes 420 = £84
Next, we subtract this reduction from her original earnings:
extNewearnings=£420−£84=£336
Therefore, Lillian will earn £336 working 4 days a week.
