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At a Harare swimming club, there are 35 girls and 25 boys. . In a Bulawayo swimming club, there are 22 girls and 14 boys. Which swimming club has the greatest proportion of girls? Explain how you worked out your answer. ​

User Alexey Ten
by
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1 Answer

11 votes

Answer:

Bulawayo

Explanation:

Proportions can be compared numerous ways. Here, we find it convenient to look at the difference between girls and boys relative to the number of boys.

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Harare

With 35 girls and 25 boys, there are 10 more girls than boys. 10 is less than half of the number of boys, so the ratio of girls to boys is less than 1.5.

Bulawayo

With 35 girls and 15 boys, there are 8 more girls than boys. 8 is more than half of the number of boys, so the ratio of girls to boys is more than 1.5.

Comparision

"More than 1.5" is greater than "less than 1.5", so Bulawayo has the greatest proportion of girls.
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Additional comment

As a fraction of the total, the proportions of girls are ...

Harare: 35/(35+25) = 35/60 = 7/12 = 21/36

Bulawayo: 22/(22+14) = 22/36 . . . . . . greater than 21/36.

User YvetteLee
by
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