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Nan Hua 2025 P6 Maths Prelim — Paper 1 Booklet A Q14 Solution
Question
The ratio of the number of girls in Team A to the number of girls in Team B is $2 : 3$. The ratio of the number of boys in Team A to the number of boys in Team B is $5 : 3$. In Team A, the ratio of the number of girls to the number of boys is $4 : 3$. What is the ratio of the number of girls to the number of boys in Team B?
- 1. $1 : 1$
- 2. $2 : 1$
- 3. $2 : 3$
- 4. $10 : 3$
Answer: 4
Worked solution
- \(\text{Let A girls} = 2k, B \text{ girls} = 3k\)
- \(A \text{ boys} = 5m, B \text{ boys} = 3m\)
- \(\text{In A: } 2k : 5m = 4 : 3\)
- \(6k = 20m\)
- \(k : m = 10 : 3\)
- \(B \text{ girls} : B \text{ boys} = 3k : 3m = k : m = 10 : 3\)
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