Product M is produced by mixing chemical X and chemical Y in the ratio of 5 : 4. Chemical X is prepared by mix

Question

Product M is produced by mixing chemical X and chemical Y in the ratio of 5 : 4. Chemical X is prepared by mixing two raw materials, A and B, in the ratio of 1 : 3. Chemical Y is prepared by mixing raw materials, B and C, in the ratio of 2 : 1. Then the final mixture is prepared by mixing 864 units of product M with water. If the concentration of the raw material B in the final mixture is 50%, how much water had been added to product M?

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Accepted Answer

368 units. Let the quantities of the chemicals X and Y, mixed to produce product M be 5 c 5c 5 c and 4 c 4c 4 c respectively. X is prepared by mixing A and B in the ratio = 1 : 3 => Quantity of B in X = 3 4 × 5 c = 15 c 4 \frac{3}{4} 	imes 5c = \frac{15 c}{4} 4 3 ​ × 5 c = 4 15 c ​ Y is prepared by mixing