Question

there are 1800 pupils in a school of witch 2/5 are girls. 540 of the pupils do not play sports. Of these pupils who do not play sports, 5/9 are girls. How many boys play sports?

Answer 1

Answer:  840

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Explanation:

There are 1800 students total.

Take 2/5 of this to find the number of girls

(2/5)*1800 = 720 students are girls

Subtract that result from the total to get the number of boys

1800-720 = 1080 students are boys

We'll use this value later, so let A = 1080.

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540 students do not play sports

(5/9)*540 = 300 girls do not play sports.

540-300 = 240 boys do not play sports

Let B = 240

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We found that

• A = 1080 boys total
• B = 240 boys do not play sports

Therefore,

A-B = 1080 - 240 = 840 boys play sports