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60% of the people in a town are males - OCR - GCSE Maths - Question 10 - 2018 - Paper 1

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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%

114 rated

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%

104 rated

Answer

20% of males are left-handed. Thus, the number of left-handed males is 0.20×60=120.20 \times 60 = 12.

Step 3

Find the total number of left-handed people

96%

101 rated

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=21.60.216 \times 100 = 21.6, which we can approximate to 22 for calculation.

Step 4

Calculate the number of left-handed females

98%

120 rated

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: 2212=1022 - 12 = 10.

Step 5

Find the percentage of left-handed people who are not male

97%

117 rated

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: 1040×100=25%.\frac{10}{40} \times 100 = 25\%.

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