A mixture is made by mixing two liquids in the ratio 5:3. If the total volume of

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

Options:

40 liters
32 liters
24 liters
16 liters

Correct Answer: 40 liters

Solution:

In a 5:3 ratio, total parts = 5 + 3 = 8. First liquid = (5/8) * 64 = 40 liters.

A mixture is made by mixing two liquids in the ratio 5:3. If the total volume of

Practice Questions

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

40 liters
32 liters
24 liters
16 liters

Questions & Step-by-Step Solutions

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

Step 1: Understand the ratio 5:3. This means for every 5 parts of the first liquid, there are 3 parts of the second liquid.
Step 2: Add the parts of the ratio together. 5 (first liquid) + 3 (second liquid) = 8 total parts.
Step 3: Find out how much one part is worth. Since the total volume of the mixture is 64 liters, divide 64 by the total parts: 64 liters / 8 parts = 8 liters per part.
Step 4: Calculate the amount of the first liquid. Since the first liquid has 5 parts, multiply the value of one part by 5: 8 liters/part * 5 parts = 40 liters.
Step 5: Conclude that there are 40 liters of the first liquid 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 required quantities.

A mixture is made by mixing two liquids in the ratio 5:3. If the total volume of

What’s inside this PDF?

A mixture is made by mixing two liquids in the ratio 5:3. If the total volume of

Practice Questions

Questions & Step-by-Step Solutions

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