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
96%
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Answer
Let the total number of people in the town be 100. Since 60% are males, there are 60 males.
Step 2
Calculate the Number of Left-handed Males
99%
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Answer
20% of the 60 males are left-handed:
[ 0.20 \times 60 = 12 \text{ left-handed males} ]
Step 3
Calculate the Total Number of Left-handed People
96%
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Answer
We know that 21.6% of all people are left-handed:
[ 0.216 \times 100 = 21.6 \text{ left-handed people} ]
Since we cannot have a fraction of a person, we can approximate to 22 left-handed people.
Step 4
Calculate the Number of Left-handed Females
98%
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Answer
To find the left-handed females, subtract the number of left-handed males from the total left-handed people:
[ 22 - 12 = 10 \text{ left-handed females} ]
Step 5
Calculate the Total Percentage of People who are Not Male and Left-handed
97%
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Answer
The number of females in town is 40 (100 total - 60 males). The percentage of the left-handed females from the total number of females is:
[ \frac{10}{40} \times 100 = 25% ]
