Question
A container has a mixture of two liquids, A and B, in
the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B, the ratio of liquids A and B becomes 3:5. Find the initial quantity of liquid A in the container.Solution
ATQ, Let the initial quantity of liquid A be 5x liters and liquid B be 3x liters. After removing 16 liters, 10 liters of A and 6 liters of B are removed. The remaining amounts are: Liquid A: 5x - 10 liters. Liquid B: 3x - 6 liters. After adding 16 liters of liquid B, the new amount of liquid B is 3x + 10 liters. Given the new ratio of A to B is 3:5: (5x - 10) / (3x + 10) = 3 / 5. Cross-multiplying and solving: 25x - 50 = 9x + 30, 16x = 80, so x = 5. Thus, the initial quantity of liquid A is 5 × 5 = 25 liters.
The Minister of Home Affairs and Cooperation, Shri Amit Shah inaugurated the National Tribal Research Institute at which place?
What is the new name of Magma Fincorp?
Which component of the environment is an example of an abiotic factor?
Who has been elected as Bhutan's Prime Minister for the second time?
Which of these districts of Haryana does not covers under Shivalik range?
Where in India the Bandipur National Park located?
Who has become the first Indian female Grandmaster in chess?
Who became the winner of 22nd Dubai Open Chess Tournament held in Dubai, UAE?
Match the following lists.
Mil Mi -26 is which kind of Helicopter in the IAF?