In a mixture of 100 liters, the ratio of oil to water is 1:4. How much oil is in

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Question: In a mixture of 100 liters, the ratio of oil to water is 1:4. How much oil is in the mixture?

Options:

Correct Answer: 10 liters

Solution:

Let the amount of oil be x liters. Then, water = 4x liters. x + 4x = 100 liters, 5x = 100, x = 20 liters. Therefore, oil = 20 liters.

In a mixture of 100 liters, the ratio of oil to water is 1:4. How much oil is in the mixture?

In a mixture of 100 liters, the ratio of oil to water is 1:4. How much oil is in the mixture?

Step 1: Understand the ratio of oil to water, which is 1:4. This means for every 1 part of oil, there are 4 parts of water.
Step 2: Let the amount of oil be represented by 'x' liters.
Step 3: Since the ratio is 1:4, the amount of water will be 4 times the amount of oil, which is 4x liters.
Step 4: The total mixture is 100 liters, so we can write the equation: x (oil) + 4x (water) = 100 liters.
Step 5: Combine the terms in the equation: 1x + 4x = 5x. So, we have 5x = 100 liters.
Step 6: To find the value of x (the amount of oil), divide both sides of the equation by 5: x = 100 / 5.
Step 7: Calculate the value: x = 20 liters. This means there are 20 liters of oil in the mixture.

Ratio and Proportion – Understanding how to work with ratios to determine quantities in a mixture.
Algebraic Equations – Setting up and solving equations based on the relationships defined by the problem.