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The ratio of Sand to gravel in a mixture is 15 : 8 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 15 : 8 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture? Correct Answer 45 : 68

Given:

The ratio of sand to gravel in a mixture is 15 : 8 while that between gravel and cement is 6 : 17.

Calculation

Sand : gravel = 15 : 8

Gravel : cement = 6 : 17

Then,

From the ratio rule,

Sand : gravel : cement

15 : 8 : 8 (the ratio is given sand and gravel fills the blank space by the nearest value)

6 : 6 : 17 (the ratio is given sand and gravel fill the blank space by the nearest value)

Then sand : gravel : cement = 15 × 6 : 8 × 6 : 8 × 17 = 90 : 48 : 136

Sand : Cement = 90 : 136 = 45 : 68 Ans.

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