In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters

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Question: In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters of alcohol are in the mixture?

Options:

Correct Answer: 36 liters

Solution:

Total parts = 2 + 3 = 5. Alcohol\'s part = (3/5) * 60 = 36 liters.

In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters of alcohol are in the mixture?

In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters of alcohol are in the mixture?

Step 1: Understand the total mixture volume, which is 60 liters.
Step 2: Identify the ratio of water to alcohol, which is 2:3.
Step 3: Add the parts of the ratio together: 2 (water) + 3 (alcohol) = 5 parts total.
Step 4: Determine the part of the mixture that represents alcohol, which is 3 parts.
Step 5: Calculate the fraction of the mixture that is alcohol: 3 parts out of 5 total parts.
Step 6: Multiply the fraction of alcohol by the total volume: (3/5) * 60 liters.
Step 7: Perform the calculation: 3/5 of 60 liters equals 36 liters.
Step 8: Conclude that there are 36 liters of alcohol 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 parts of a whole.