A container has 50 liters of a mixture of juice and water in the ratio 4:1. How

Practice Questions

Q1
A container has 50 liters of a mixture of juice and water in the ratio 4:1. How much juice is in the mixture?
  1. 30 liters
  2. 35 liters
  3. 40 liters
  4. 45 liters

Questions & Step-by-Step Solutions

A container has 50 liters of a mixture of juice and water in the ratio 4:1. How much juice is in the mixture?
Correct Answer: 40 liters
  • Step 1: Understand the ratio of juice to water, which is 4:1.
  • Step 2: Add the parts of the ratio together: 4 (juice) + 1 (water) = 5 total parts.
  • Step 3: Find out how much one part is worth by dividing the total volume of the mixture (50 liters) by the total parts (5): 50 / 5 = 10 liters per part.
  • Step 4: Calculate the amount of juice by multiplying the number of parts for juice (4) by the value of one part (10 liters): 4 * 10 = 40 liters.
  • Step 5: Conclude that there are 40 liters of juice in the mixture.
  • Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
  • Basic Arithmetic – Performing multiplication and division to find parts of a whole.
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