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A and B are mixed in the ratio 1:4. If there are 100 liters of the mixture, how

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Question: A and B are mixed in the ratio 1:4. If there are 100 liters of the mixture, how much of A is there?

Options:

  1. 20 liters
  2. 25 liters
  3. 30 liters
  4. 40 liters

Correct Answer: 20 liters

Solution:

Total parts = 1 + 4 = 5. A = (1/5) * 100 = 20 liters.

A and B are mixed in the ratio 1:4. If there are 100 liters of the mixture, how

Practice Questions

Q1
A and B are mixed in the ratio 1:4. If there are 100 liters of the mixture, how much of A is there?
  1. 20 liters
  2. 25 liters
  3. 30 liters
  4. 40 liters

Questions & Step-by-Step Solutions

A and B are mixed in the ratio 1:4. If there are 100 liters of the mixture, how much of A is there?
  • Step 1: Understand the ratio of A to B, which is 1:4.
  • Step 2: Add the parts of A and B together. 1 part (A) + 4 parts (B) = 5 parts total.
  • Step 3: Find out how much one part is worth by dividing the total mixture (100 liters) by the total parts (5). So, 100 liters ÷ 5 parts = 20 liters per part.
  • Step 4: Since A is 1 part, multiply the value of one part (20 liters) by the number of parts for A (1). So, A = 1 * 20 liters = 20 liters.
  • Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
  • Mixture Problems – Calculating the components of a mixture based on their ratio.
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