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.
In a vessel, the ratio of milk to water is 3:2. 40 litres of mixture is taken out and 20 litres of water is added to the remaining mixture so that the q...
A vessel contains 60L mixture of milk and water in 3:2 ratio. 10L is removed and replaced with pure milk. What is the new ratio of milk to water?
- Quantity of honey is 55% more than that of water in 204 litres mixture (honey + water). If 24 litres honey is added, then find the quantity of honey in the...
A jar contains a mixture of milk and water in the ratio 4:3, respectively. If 4-litres of the mixture is taken out, then the quantity of water left in t...
Quantity of milk is 33% more than that of water in 233 litres mixture (milk + water). If 27 litres milk is added, then find the quantity of milk in the ...
600 ml of mixture contains milk and water in the ratio of 3:2. If `x` ml of milk and `(x - 40)` ml of water are added, then the ratio becomes 7:5. Find ...
Quantity of water in a 320 litres mixture (alcohol + water) is 20 litres less than the quantity of alcohol in it. Find the quantity of water to be mixed...
Sugar worth Rs. 30/kg and Rs. 45/kg are mixed with a third variety in the ratio 3:2:1 respectively. If the final mixture is worth Rs. 38/kg, then the pr...
A 360-liter mixture consists of milk and water in a 5:4 ratio. If 7.5% of the mixture is removed and replaced with the same amount of water, what is the...
- Wheat worth Rs. 25/kg and Rs. 40/kg are mixed with a third variety in the ratio 1:2:1 respectively. If the final mixture is worth Rs. 35/kg, then the price...
Relevant for Exams:
