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A container has 80 liters of a mixture of milk and water in the ratio 3:1. If 20

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Question: A container has 80 liters of a mixture of milk and water in the ratio 3:1. If 20 liters of the mixture is replaced with water, what is the new ratio of milk to water?

Options:

  1. 2:1
  2. 3:2
  3. 5:3
  4. 4:1

Correct Answer: 2:1

Solution: 

Initially, there are 60 liters of milk and 20 liters of water. After removing 20 liters, 15 liters of milk and 5 liters of water are removed. Adding 20 liters of water gives 60 liters of milk and 25 liters of water. New ratio = 60:25 = 12:5.

A container has 80 liters of a mixture of milk and water in the ratio 3:1. If 20

Practice Questions

Q1
A container has 80 liters of a mixture of milk and water in the ratio 3:1. If 20 liters of the mixture is replaced with water, what is the new ratio of milk to water?
  1. 2:1
  2. 3:2
  3. 5:3
  4. 4:1

Questions & Step-by-Step Solutions

A container has 80 liters of a mixture of milk and water in the ratio 3:1. If 20 liters of the mixture is replaced with water, what is the new ratio of milk to water?
  • Step 1: Understand the initial mixture. The container has 80 liters of a mixture of milk and water in the ratio 3:1.
  • Step 2: Calculate the total parts in the ratio. The ratio 3:1 means there are 3 parts milk and 1 part water, which totals 4 parts.
  • Step 3: Find the amount of milk. To find the amount of milk, divide the total volume (80 liters) by the total parts (4) and multiply by the milk parts (3). So, 80 / 4 * 3 = 60 liters of milk.
  • Step 4: Find the amount of water. To find the amount of water, divide the total volume (80 liters) by the total parts (4) and multiply by the water parts (1). So, 80 / 4 * 1 = 20 liters of water.
  • Step 5: Remove 20 liters of the mixture. Since the mixture is in the ratio 3:1, when we remove 20 liters, we remove 15 liters of milk and 5 liters of water.
  • Step 6: Calculate the remaining milk and water. After removing, we have 60 - 15 = 45 liters of milk and 20 - 5 = 15 liters of water.
  • Step 7: Add 20 liters of water to the remaining mixture. Now, we have 45 liters of milk and 15 + 20 = 35 liters of water.
  • Step 8: Find the new ratio of milk to water. The new ratio is 45 liters of milk to 35 liters of water.
  • Step 9: Simplify the ratio. To simplify 45:35, divide both numbers by 5. This gives us 9:7.
  • Ratio and Proportion – Understanding how to calculate and manipulate ratios in mixtures.
  • Mixture Problems – Applying concepts of mixtures to determine quantities of components after changes.
  • Volume Calculation – Calculating the volumes of components before and after a replacement in a mixture.
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