Two different quantities of the same solution having ingredients A and B are stored in two different containers. In the first container, there are 252 litre of A and 441 litre of B. In the second container, the total quantity of the solution was 1188 litre. How much of the solution in the second container was made up of ingredient B?

Question

Accepted Answer

Step 1: Find the ratio of ingredient A to B in the first container.
- Quantity of A = 252 litre
- Quantity of B = 441 litre
- Ratio A:B = 252:441
- Simplify the ratio by dividing both by their GCD (63):
  252 ÷ 63 = 4, 441 ÷ 63 = 7
- So, ratio A:B = 4:7

Step 2: Since the solution in the second container is of the same mixture, the ratio of A to B is also 4:7.

Step 3: Total quantity in the second container = 1188 litre
- Let quantity of A = 4x
- Let quantity of B = 7x
- Total = 4x + 7x = 11x
- 11x = 1188
- x = 1188 / 11 = 108

Step 4: Quantity of B in the second container = 7x = 7 × 108 = 756 litre

Therefore, the quantity of ingredient B in the second container is 756 litre.

Answer

Answer

Answer