A and B are mixed in the ratio 5:3. If there are 64 liters of the mixture, how m

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Question: A and B are mixed in the ratio 5:3. If there are 64 liters of the mixture, how much of liquid B is there?

Options:

Correct Answer: 24 liters

Solution:

In a 5:3 ratio, the total parts = 5 + 3 = 8. Liquid B = (3/8) * 64 = 24 liters.

A and B are mixed in the ratio 5:3. If there are 64 liters of the mixture, how much of liquid B is there?

A and B are mixed in the ratio 5:3. If there are 64 liters of the mixture, how much of liquid B is there?

Step 1: Understand the ratio of A to B, which is 5:3.
Step 2: Add the parts of the ratio together: 5 (for A) + 3 (for B) = 8 total parts.
Step 3: Determine the fraction of the mixture that is liquid B: Since B has 3 parts, the fraction is 3 out of 8, or 3/8.
Step 4: Calculate the amount of liquid B in the mixture: Multiply the total volume of the mixture (64 liters) by the fraction for B (3/8).
Step 5: Perform the calculation: (3/8) * 64 = 24 liters.
Step 6: Conclude that there are 24 liters of liquid B in the mixture.

Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
Basic Arithmetic – Performing multiplication and division to find the quantity of a component in a mixture.