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The ratio of sand to gravel in a mixture is 3 : 4, while that between gravel and cement is 6 : 7. What is the ratio of sand to cement in the mixture?

The ratio of sand to gravel in a mixture is 3 : 4, while that between gravel and cement is 6 : 7. What is the ratio of sand to cement in the mixture? Correct Answer 9 : 14

Ratio of sand to gravel = 3 ∶ 4 = (3 × 3) ∶ (4 × 3) = 9 ∶ 12

Ratio of gravel to cement = 6 ∶ 7 = (6 × 2) ∶ (7 × 2) = 12 ∶ 14

∴ Ratio of sand to cement = 9 ∶ 14

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