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A solution is made by mixing two liquids in the ratio 3:4. If the total volume o

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Question: A solution is made by mixing two liquids in the ratio 3:4. If the total volume of the solution is 70 liters, how much of the second liquid is there?

Options:

  1. 30 liters
  2. 40 liters
  3. 35 liters
  4. 20 liters

Correct Answer: 40 liters

Solution: 

In a 3:4 ratio, the total parts = 3 + 4 = 7. Second liquid = (4/7) * 70 = 40 liters.

A solution is made by mixing two liquids in the ratio 3:4. If the total volume o

Practice Questions

Q1
A solution is made by mixing two liquids in the ratio 3:4. If the total volume of the solution is 70 liters, how much of the second liquid is there?
  1. 30 liters
  2. 40 liters
  3. 35 liters
  4. 20 liters

Questions & Step-by-Step Solutions

A solution is made by mixing two liquids in the ratio 3:4. If the total volume of the solution is 70 liters, how much of the second liquid is there?
  • Step 1: Understand the ratio 3:4. This means for every 3 parts of the first liquid, there are 4 parts of the second liquid.
  • Step 2: Add the parts of the ratio together. 3 (first liquid) + 4 (second liquid) = 7 total parts.
  • Step 3: Find out how much one part is worth. Divide the total volume of the solution (70 liters) by the total parts (7). So, 70 liters ÷ 7 = 10 liters per part.
  • Step 4: Calculate the amount of the second liquid. Since the second liquid has 4 parts, multiply the value of one part (10 liters) by 4. So, 10 liters × 4 = 40 liters.
  • Step 5: Conclude that there are 40 liters of the second liquid in the solution.
  • Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
  • Basic Arithmetic – Performing calculations involving addition, multiplication, and division.
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