In a park, the ratio of the number of trees in Garden P to the number of trees in Garden Q is 3 : 5. The ratio of the number of bushes in Garden P to the number of bushes in Garden Q is 4 : 3. In Garden P, the ratio of the number of trees to the number of bushes is 6 : 5. What is the ratio of the number of trees to the number of bushes in Garden Q?
- 3 : 8
- 8 : 3
- 5 : 4
- 2 : 1
Need a hint?
Find the number of trees and bushes in Garden Q separately, using Garden P as the link, then compare them.
Worked answer
- Let Garden P have 6 units of trees and 5 units of bushes.
- Trees in Garden Q = 6 × 5 ÷ 3 = 10 units, since 3 units of trees in P match 5 units in Q.
- Bushes in Garden Q = 5 × 3 ÷ 4 = 154 units, since 4 units of bushes in P match 3 units in Q.
- Trees : bushes in Garden Q = 10 : 154.
- Multiply both parts by 4: 40 : 15 = 8 : 3.
Answer: 8 : 3
The mistake this question tests
Habit
Stopped at one part in ratio
Pupils often swap the order of the ratio in Garden Q, or use the ratio from Garden P directly without linking it to Garden Q.
How to fix it at home →More PSLE ratio questions
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See the answer →Practise PSLE ratio until the mistakes stop.
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