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A solution is made by mixing alcohol and water in the ratio 5:3. If there are 32

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Question: A solution is made by mixing alcohol and water in the ratio 5:3. If there are 32 liters of the solution, how much water is present?

Options:

  1. 12 liters
  2. 20 liters
  3. 8 liters
  4. 16 liters

Correct Answer: 12 liters

Solution:

In a 5:3 ratio, total parts = 5 + 3 = 8. Water = (3/8) * 32 = 12 liters.

A solution is made by mixing alcohol and water in the ratio 5:3. If there are 32

Practice Questions

Q1
A solution is made by mixing alcohol and water in the ratio 5:3. If there are 32 liters of the solution, how much water is present?
  1. 12 liters
  2. 20 liters
  3. 8 liters
  4. 16 liters

Questions & Step-by-Step Solutions

A solution is made by mixing alcohol and water in the ratio 5:3. If there are 32 liters of the solution, how much water is present?
  • Step 1: Understand the ratio of alcohol to water, which is 5:3.
  • Step 2: Add the parts of the ratio together: 5 (alcohol) + 3 (water) = 8 total parts.
  • Step 3: Determine how much one part is worth by dividing the total solution volume by the total parts: 32 liters / 8 parts = 4 liters per part.
  • Step 4: Find the amount of water by multiplying the number of parts for water (3) by the value of one part: 3 parts * 4 liters/part = 12 liters of water.
  • Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
  • Basic Arithmetic – Performing multiplication and division to find the required quantity.
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