Question
A container has 60 liters of a mixture of milk and water
in the ratio of 3:2. How many liters of water should be added to make the ratio 2:3?Solution
Milk = (3/5) × 60 = 36 liters Water = (2/5) × 60 = 24 liters Let x liters of water be added. After adding, new water quantity = 24 + x New ratio = 36 : (24 + x) = 2:3 (36 / (24 + x)) = (2 / 3) Cross-multiply: 108 = 48 + 2x 2x = 60 x = 30 liters Answer: a) 30 liters
Simplify:
6x + 8y - [(12x + 6y) - (4x + 3y) + 2y] - 4xIf 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
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