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A mixture of two liquids A and B is in the ratio 3:2. If the total volume of the

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Question: A mixture of two liquids A and B is in the ratio 3:2. If the total volume of the mixture is 50 liters, how much of liquid A is there?

Options:

  1. 20 liters
  2. 25 liters
  3. 30 liters
  4. 35 liters

Correct Answer: 30 liters

Solution:

Total parts = 3 + 2 = 5. Volume of A = (3/5) * 50 = 30 liters.

A mixture of two liquids A and B is in the ratio 3:2. If the total volume of the

Practice Questions

Q1
A mixture of two liquids A and B is in the ratio 3:2. If the total volume of the mixture is 50 liters, how much of liquid A is there?
  1. 20 liters
  2. 25 liters
  3. 30 liters
  4. 35 liters

Questions & Step-by-Step Solutions

A mixture of two liquids A and B is in the ratio 3:2. If the total volume of the mixture is 50 liters, how much of liquid A is there?
  • Step 1: Understand the ratio of liquids A and B, which is 3:2.
  • Step 2: Add the parts of the ratio together: 3 (for A) + 2 (for B) = 5 parts total.
  • Step 3: Find the fraction of the mixture that is liquid A. This is 3 parts out of the total 5 parts, so the fraction is 3/5.
  • Step 4: Multiply the total volume of the mixture (50 liters) by the fraction for liquid A: (3/5) * 50.
  • Step 5: Calculate the volume of liquid A: 3/5 of 50 liters equals 30 liters.
  • 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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