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Q: The ratio of soil and gravel in a mixture is 11 : 8 while the ratio of gravel and cement is 6 : 7. What is the ratio of soil and cement in the mixture?
  • A. 77 : 48
  • B. 33 : 28
  • C. 8 : 6
  • D. 11 : 7
Correct Answer: Option B - (i) Soil (S) Gravel (B) 11 : 8 (ii) Gravel (B) Cement (C) 6 : 7 S : B = 11 : 8 = 66 : 48 B : C = 6 : 7 = 48 : 56 S : B : C = 66 : 48 : 56 Soil : Cement = 66 : 56 = 33 : 28
B. (i) Soil (S) Gravel (B) 11 : 8 (ii) Gravel (B) Cement (C) 6 : 7 S : B = 11 : 8 = 66 : 48 B : C = 6 : 7 = 48 : 56 S : B : C = 66 : 48 : 56 Soil : Cement = 66 : 56 = 33 : 28

Explanations:

(i) Soil (S) Gravel (B) 11 : 8 (ii) Gravel (B) Cement (C) 6 : 7 S : B = 11 : 8 = 66 : 48 B : C = 6 : 7 = 48 : 56 S : B : C = 66 : 48 : 56 Soil : Cement = 66 : 56 = 33 : 28