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Nanyang 2025 P6 Maths Prelim — Paper 1 Booklet A Q14 Solution

Paper 1 Booklet A · Q14 · 2 marks · Ratio

Question

Bernice has three ropes, J, K and L. The ratio of the length of Rope J to the length of Rope K is $5 : 8$. Rope K is $\frac{4}{9}$ as long as Rope L. What is the ratio of the length of Rope J to the length of Rope L?
Answer: 4

Worked solution

  1. $J : K = 5 : 8$. Rope K is $\frac{4}{9}$ of Rope L, so $L = K \times \frac{9}{4} = 8 \times \frac{9}{4} = 18$ units. Therefore $J : L = 5 : 18$.

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