A mixture of two liquids A and B is in the ratio 5:3. If the total volume of the

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Question: A mixture of two liquids A and B is in the ratio 5:3. If the total volume of the mixture is 64 liters, how much liquid A is there?

Options:

Correct Answer: 40 liters

Solution:

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

A mixture of two liquids A and B is in the ratio 5:3. If the total volume of the mixture is 64 liters, how much liquid A is there?

A mixture of two liquids A and B is in the ratio 5:3. If the total volume of the mixture is 64 liters, how much liquid A is there?

Step 1: Understand the ratio of liquids A and B, which is 5:3.
Step 2: Add the parts of the ratio together: 5 (for A) + 3 (for B) = 8 parts total.
Step 3: Find the fraction of the total mixture that is liquid A. This is 5 parts out of 8 parts, or 5/8.
Step 4: Calculate the total volume of the mixture, which is given as 64 liters.
Step 5: Multiply the fraction of liquid A (5/8) by the total volume (64 liters) to find the volume of liquid A: (5/8) * 64.
Step 6: Perform the multiplication: 5 * 64 = 320, then divide by 8: 320 / 8 = 40 liters.
Step 7: Conclude that the volume of liquid A is 40 liters.

Ratio and Proportion – Understanding how to divide a total quantity based on given ratios.
Basic Arithmetic – Performing multiplication and division to find the required quantity.