Question
A container contains a mixture of two liquids, A and B,
in the ratio of 5:7. If 15 liters of liquid A is replaced by liquid B, the ratio becomes 1: 2. How many liters of liquid A was there initially in the container?Solution
Let the initial volume of liquid A and B be 5x and 7x, respectively. After 15 liters of liquid A is replaced by liquid B, the volume of liquid A becomes (5x - 15) and the volume of liquid B becomes (7x + 15). We are told the new ratio of A to B is 1: 2, so: (5x - 15) / (7x + 15) = 1/2. Cross-multiply: 2(5x - 15) = (7x + 15), 10x - 30 = 7x + 15, 10x - 7x = 30 + 15, 3x = 45, x = 15 Thus, the initial volume of liquid A = 5x = 5 × 15 = 75 liters.
23 45 89 155 ? 353
3, 10, 29, 66, ?
98, 122, 182, 278, 410, ?
In each of the following number series, one term is missing. Find the missing term.
3, 8, 15, 24, 35, ?
What should come in place of (?) question mark in the following number series.
4, 9, 19, 34, 54, ?
98, 89, 114, 50, 194, ?
15.975 ×27.825 + (76.01)² + 12.98×18.426 = ?+ (79.09)²
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
16, 15, 24, -1, 48, ?
What will come in place of the question mark (?) in the following series?
112, 123, 144, 169, 190, ?
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