In a certain mixture, the ratio of milk to water is 5:3. If there are 64 liters

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Question: In a certain mixture, the ratio of milk to water is 5:3. If there are 64 liters of the mixture, how much milk is there?

Options:

Correct Answer: 40 liters

Solution:

Total parts = 5 + 3 = 8. Volume of milk = (5/8) * 64 = 40 liters.

In a certain mixture, the ratio of milk to water is 5:3. If there are 64 liters of the mixture, how much milk is there?

In a certain mixture, the ratio of milk to water is 5:3. If there are 64 liters of the mixture, how much milk is there?

Step 1: Understand the ratio of milk to water, which is 5:3.
Step 2: Add the parts of the ratio together: 5 (milk) + 3 (water) = 8 parts total.
Step 3: Find out how much one part is worth by dividing the total volume of the mixture (64 liters) by the total parts (8): 64 / 8 = 8 liters per part.
Step 4: Calculate the volume of milk by multiplying the number of parts for milk (5) by the volume of one part (8 liters): 5 * 8 = 40 liters.
Step 5: Conclude that there are 40 liters of milk in the mixture.

Ratio and Proportion – Understanding how to divide a total quantity based on given ratios.
Basic Arithmetic – Performing calculations involving addition, multiplication, and division.