In a certain mixture, the ratio of oil to vinegar is 3:1. If there are 48 liters

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Question: In a certain mixture, the ratio of oil to vinegar is 3:1. If there are 48 liters of the mixture, how much oil is present?

Options:

Correct Answer: 36 liters

Solution:

Total parts = 3 + 1 = 4. Oil = (3/4) * 48 = 36 liters.

In a certain mixture, the ratio of oil to vinegar is 3:1. If there are 48 liters of the mixture, how much oil is present?

In a certain mixture, the ratio of oil to vinegar is 3:1. If there are 48 liters of the mixture, how much oil is present?

Step 1: Understand the ratio of oil to vinegar, which is 3:1. This means for every 3 parts of oil, there is 1 part of vinegar.
Step 2: Add the parts of oil and vinegar together. 3 (oil) + 1 (vinegar) = 4 total parts.
Step 3: Find out how much one part is worth. Since the total mixture is 48 liters, divide 48 by the total parts: 48 liters ÷ 4 parts = 12 liters per part.
Step 4: Calculate the amount of oil. Since there are 3 parts of oil, multiply the value of one part by 3: 12 liters/part × 3 parts = 36 liters of oil.

Ratio and Proportion – Understanding how to apply ratios to find quantities in a mixture.
Basic Arithmetic – Performing multiplication and division to calculate the amount of oil.