A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A i

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Question: A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A is added to the mixture, what will be the new ratio if the total volume becomes 50 liters?

Options:

Correct Answer: 5:1

Solution:

Initial volume = 50 - 10 = 40 liters. A = (4/5) * 40 = 32 liters, B = 8 liters. New ratio = 32:8 = 4:1.

A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A i

Practice Questions

A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A is added to the mixture, what will be the new ratio if the total volume becomes 50 liters?

Questions & Step-by-Step Solutions

A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A is added to the mixture, what will be the new ratio if the total volume becomes 50 liters?

Step 1: Understand that the initial ratio of liquids A and B is 4:1.
Step 2: This means for every 4 parts of liquid A, there is 1 part of liquid B.
Step 3: The total parts in the mixture is 4 + 1 = 5 parts.
Step 4: The total volume of the mixture after adding liquid A is 50 liters.
Step 5: Since we added 10 liters of liquid A, the initial volume of the mixture before adding A is 50 - 10 = 40 liters.
Step 6: Calculate the volume of liquid A in the initial mixture: A = (4/5) * 40 = 32 liters.
Step 7: Calculate the volume of liquid B in the initial mixture: B = 40 - 32 = 8 liters.
Step 8: After adding 10 liters of liquid A, the new volume of liquid A is 32 + 10 = 42 liters.
Step 9: The volume of liquid B remains 8 liters.
Step 10: The new ratio of A to B is 42:8.
Step 11: Simplify the ratio 42:8 by dividing both numbers by 2, which gives 21:4.

Ratio and Proportion – Understanding how to calculate and manipulate ratios when quantities change.
Volume Calculation – Calculating the initial and final volumes of liquids in a mixture.

A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A i

What’s inside this PDF?

A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A i

Practice Questions

Questions & Step-by-Step Solutions

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