60% of the people in a town are males - OCR - GCSE Maths - Question 10 - 2018 - Paper 1
Question 10
60% of the people in a town are males.
20% of the males are left-handed.
21.6% of all the people are left-handed.
Work out the percentage of the people who are not ... show full transcript
Worked Solution & Example Answer:60% of the people in a town are males - OCR - GCSE Maths - Question 10 - 2018 - Paper 1
Step 1
Calculate the percentage of males in the town
96%
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Answer
Let the total number of people in the town be 100. Therefore, the number of males is 60% of 100, which is 60 males.
Step 2
Determine the number of left-handed males
99%
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Answer
20% of males are left-handed. Thus, the number of left-handed males is 0.20×60=12.
Step 3
Find the total number of left-handed people
96%
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Answer
Given that 21.6% of all the people are left-handed, the total number of left-handed people in the town is 0.216×100=21.6, which we can approximate to 22 for calculation.
Step 4
Calculate the number of left-handed females
98%
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Answer
The number of left-handed females can be calculated by subtracting the number of left-handed males from the total number of left-handed people: 22−12=10.
Step 5
Find the percentage of left-handed people who are not male
97%
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Answer
The female population in the town is the remaining 40% (100% - 60%). Therefore, the number of females is 40. The percentage of people who are not male and are left-handed is given by: 4010×100=25%.