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**A school has 800 students. The breakdown by gender and sport is as follows:** - $60\%$ of the students are boys; the rest are girls. - Among the boys: $25\%$ play Cricket, $35\%$ play Football, $20\%$ play Basketball, and the rest play Tennis. - Among the girls: $40\%$ play Cricket, $30\%$ play Football, $15\%$ play Basketball, and the rest play Tennis. Every student plays exactly one of these four sports. **Question.** What is the ratio of boys who play Cricket to girls who play Football?
A$4:3$
B$5:4$
C$5:3$
D$6:5$
Answer & Solution
Correct answer: B. $5:4$
**Compute the counts.** Boys playing Cricket $= 25\% \text{ of } 480 = 120$. Girls playing Football $= 30\% \text{ of } 320 = 96$.
**Ratio.** $120 : 96$. Dividing both by $\gcd(120, 96) = 24$: $5 : 4$.
**Why option A ($4:3$) is tempting.** $120/96 \approx 1.25$, but $4/3 \approx 1.33$ — close but not equal. Always reduce by the GCD to be safe.
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