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A mixture contains two types of fruit juice in the ratio 3:5. If the total volum

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Question: A mixture contains two types of fruit juice in the ratio 3:5. If the total volume of the mixture is 40 liters, how much of the first juice is there?

Options:

  1. 15 liters
  2. 20 liters
  3. 25 liters
  4. 30 liters

Correct Answer: 15 liters

Solution: 

In a 3:5 ratio, the total parts = 3 + 5 = 8. First juice = (3/8) * 40 = 15 liters.

A mixture contains two types of fruit juice in the ratio 3:5. If the total volum

Practice Questions

Q1
A mixture contains two types of fruit juice in the ratio 3:5. If the total volume of the mixture is 40 liters, how much of the first juice is there?
  1. 15 liters
  2. 20 liters
  3. 25 liters
  4. 30 liters

Questions & Step-by-Step Solutions

A mixture contains two types of fruit juice in the ratio 3:5. If the total volume of the mixture is 40 liters, how much of the first juice is there?
  • Step 1: Understand the ratio of the two juices, which is 3:5. This means for every 3 parts of the first juice, there are 5 parts of the second juice.
  • Step 2: Add the parts of the ratio together. 3 (first juice) + 5 (second juice) = 8 total parts.
  • Step 3: Find out how much one part is worth. Since the total volume of the mixture is 40 liters, divide 40 by the total parts: 40 liters / 8 parts = 5 liters per part.
  • Step 4: Calculate the amount of the first juice. Since the first juice has 3 parts, multiply the value of one part by 3: 5 liters/part * 3 parts = 15 liters.
  • Step 5: Conclude that there are 15 liters of the first juice in the mixture.
  • 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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