If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A

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Question: If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A is added, what will be the new ratio if the total volume of liquid B is 12 liters?

Options:

Correct Answer: 1:3

Solution:

Initial volumes are A = 1x and B = 3x. If B = 12 liters, then x = 4. New A = 4 + 4 = 8, B = 12. New ratio = 8:12 = 2:3.

If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A

Practice Questions

If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A is added, what will be the new ratio if the total volume of liquid B is 12 liters?

Questions & Step-by-Step Solutions

If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A is added, what will be the new ratio if the total volume of liquid B is 12 liters?

Step 1: Understand the initial ratio of liquids A and B, which is 1:3.
Step 2: Let the initial volume of liquid A be 1x and the initial volume of liquid B be 3x.
Step 3: We know that the total volume of liquid B is 12 liters.
Step 4: Set up the equation: 3x = 12 to find the value of x.
Step 5: Solve for x: x = 12 / 3 = 4.
Step 6: Calculate the initial volume of liquid A: A = 1x = 1 * 4 = 4 liters.
Step 7: Now, add 4 liters of liquid A to the initial volume: New A = 4 + 4 = 8 liters.
Step 8: The volume of liquid B remains the same at 12 liters.
Step 9: Now, find the new ratio of A to B: New ratio = 8:12.
Step 10: Simplify the ratio 8:12 by dividing both numbers by 4: 8/4 : 12/4 = 2:3.

Ratios and Proportions – Understanding how to manipulate and calculate ratios when quantities change.
Algebraic Representation – Using variables to represent quantities and solve for unknowns in a mixture problem.

If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A

What’s inside this PDF?

If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A

Practice Questions

Questions & Step-by-Step Solutions

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