Practicing Success
140 liters of a solution is formed by mixing two solutions A and B. The concentrations of milk in A and B are 40% and 75%, respectively. If the resultant solution has a milk concentration of 52%, then what is the quantity of A that is there in the resultant solution? |
92 litres 48 litres 65 litres 57 litres |
92 litres |
Let's assume that x liters of solution A is mixed with with (140 - x)liters of solution B to get the resultant solution of 140 liters with a milk concentration of 52%. ⇒ The milk quantity in solution A = 40% of x, ⇒ The milk quantity in solution B = 75% of (140 - x) ⇒ The total milk quantity in the resultant solution = 52% of 140. ⇒ We can't write the following equation based on the above information: ⇒ 0.4x + 0.75(140 - x) = 72.8 ⇒ -0.35x = 32.2 ⇒ x = 92. Therefore, answer is 92. |