A and B are mixed in the ratio 1:4. If the total volume of the mixture is 100 li

Practice Questions

Q1
A and B are mixed in the ratio 1:4. If the total volume of the mixture is 100 liters, how many liters of liquid A are 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 the total volume of the mixture is 100 liters, how many liters of liquid A are there?
  • Step 1: Understand the ratio of A to B, which is 1:4. This means for every 1 part of A, there are 4 parts of B.
  • Step 2: Add the parts of A and B together. 1 part (A) + 4 parts (B) = 5 total parts.
  • Step 3: Find out how much one part is worth. Since the total volume of the mixture is 100 liters, divide 100 liters by the total parts (5). So, 100 / 5 = 20 liters per part.
  • Step 4: Since A is 1 part, multiply the volume of one part (20 liters) by the number of parts for A (1). So, 1 * 20 = 20 liters of A.
  • 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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