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The ratio of sand to gravel in a mixture is 17 : 9 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture?

The ratio of sand to gravel in a mixture is 17 : 9 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture? Correct Answer 2 : 3

Ratio of sand to gravel in a mixture = 17 : 9    ----(i)

Ratio of gravel to cement in mixture = 6 : 17   ----(ii)

Multiply (i) by 2 and (ii) by 3, we get

Ratio of sand, gravel, and cement in the mixture = 34 : 18 : 51

∴ Ratio of sand to cement in the mixture = 34 : 51 = 2 : 3

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