A 25% alcohol solution is mixed with a 55% alcohol solution to create 12 liters of a 45% alcohol solution. What is the volume of the 25% solution used?

Answer Choices

Correct answer marked below

1 liter

3 liters

4 liters

Correct

5 liters

6 liters

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

To find the amount of the 25% alcohol solution used, we can use the allegation method. We set up the ratios: 25% (the lower concentration), 45% (the desired concentration), and 55% (the higher concentration). The differences are 20 (from 25 to 45) and 10 (from 45 to 55), giving us a ratio of 1:2.…

Read the full explanation

Create free account Sign in

Comments

MatthewSep 16, 2024

Thank for sharing!

PoojaFeb 4, 2024

Great!

What this question tests

What it tests

Your ability to reason about weighted averages and the composition of mixtures.

Common trap

Averaging the percentages of two solutions without weighting by their volumes.