In a certain mixture, the ratio of milk to water is 5:3. If there are 40 liters

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Question: In a certain mixture, the ratio of milk to water is 5:3. If there are 40 liters of milk, how much water is in the mixture?

Options:

Correct Answer: 24 liters

Solution:

If milk is 5 parts, then water is 3 parts. Total parts = 5 + 3 = 8. Water = (3/5) * 40 = 24 liters.

In a certain mixture, the ratio of milk to water is 5:3. If there are 40 liters of milk, how much water is in the mixture?

In a certain mixture, the ratio of milk to water is 5:3. If there are 40 liters of milk, how much water is in the mixture?

Step 1: Understand the ratio of milk to water, which is 5:3.
Step 2: Identify that in the ratio, milk has 5 parts and water has 3 parts.
Step 3: Calculate the total number of parts in the mixture by adding the parts of milk and water: 5 + 3 = 8 parts.
Step 4: Since there are 40 liters of milk, we need to find out how much water corresponds to the 3 parts in the ratio.
Step 5: To find the amount of water, we can set up a proportion: if 5 parts (milk) = 40 liters, then 3 parts (water) can be found using the formula: (3/5) * 40.
Step 6: Calculate (3/5) * 40 = 24 liters of water.

Ratio and Proportion – Understanding the relationship between quantities in a given ratio and how to calculate one quantity based on another.
Unit Conversion – Applying the concept of parts to find the actual volume of water based on the known volume of milk.