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The ratio of sand to gravel in a mixture is 15: 8 while that between gravel and cement is 10: 12. 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 10: 12. What is the ratio of sand to cement in the mixture? Correct Answer 75: 48

Given:

The ratio of sand to gravel in a mixture is 15: 8 while that between gravel and cement is 10: 12

Calculation

Sand: gravel = 15: 8

Gravel: cement = 10: 12

Then,

Sand: gravel: cement

15: 8: 8

10: 10: 12

Then sand: gravel: cement = 150: 80: 96

Sand: Cement = 150: 96 = 75: 48

Hence, the Sand: Cement = 75: 48

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