A and B are mixed in the ratio 2:3. If there are 30 liters of mixture, how much

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Question: A and B are mixed in the ratio 2:3. If there are 30 liters of mixture, how much of A is there?

Options:

Correct Answer: 18 liters

Solution:

In a 2:3 ratio, total parts = 2 + 3 = 5. A = (2/5) * 30 = 12 liters.

A and B are mixed in the ratio 2:3. If there are 30 liters of mixture, how much of A is there?

A and B are mixed in the ratio 2:3. If there are 30 liters of mixture, how much of A is there?

Step 1: Understand the ratio of A to B, which is 2:3.
Step 2: Add the parts of the ratio together: 2 (for A) + 3 (for B) = 5 total parts.
Step 3: Find the fraction of the mixture that A represents: A's part is 2 out of the total 5 parts, so the fraction is 2/5.
Step 4: Calculate the amount of A in the mixture by multiplying the fraction by the total volume of the mixture: (2/5) * 30 liters.
Step 5: Perform the multiplication: 2 * 30 = 60, then divide by 5: 60 / 5 = 12 liters.
Step 6: Conclude that there are 12 liters of A in the mixture.

Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
Mixture Problems – Calculating the amount of each component in a mixture based on their ratio.