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Directions: Read the following information carefully and answer the given question. In a school, the total number of students is 14,000. On the annual function of the school, 25% of the total boys and 60% of the total girls participated, and the number of total girls in the school is equal to the number of boys who did not participate in the function. Find the total number of students who did not participate in the annual function.

1. 7200
2. 6400
3. 8400
4. 9600

Correct answer: 8400

Solution

Let boys = B and girls = G. Since 25% of boys participated, 75% of boys did not participate, and this equals the number of girls, so G = 0.75B. Also, B + G = 14000. Solving gives B = 8000 and G = 6000. Non-participants = 75% of 8000 + 40% of 6000 = 6000 + 2400 = 8400.

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