Cement and sand are mixed in the ratio 2:3 by mass. A builder needs 120 kg of mixture. How many kilograms of sand are needed?

Answer and explanation

Correct answer: A. 72 kg

  1. Step 1: The ratio has 2+3 = 5 parts, so one part = 120/5 = 24 kg. Step 2. Sand is 3 parts = 3 x 24 = 72 kg. Answer: 72 kg. Why not the others: 48 kg is the mass of cement, not sand; 40 kg divides by the sand part alone (3); 180 kg multiplies the total by 3/2 instead of by 3/5.

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