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A bag contains red and blue balls in the ratio of 3:5. If there are 40 blue ball

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Question: A bag contains red and blue balls in the ratio of 3:5. If there are 40 blue balls, how many red balls are there?

Options:

  1. 24
  2. 30
  3. 20
  4. 32

Correct Answer: 24

Solution: 

The ratio of red to blue balls is 3:5. If there are 40 blue balls, we can set up the proportion: 3/5 = x/40. Solving for x gives us x = 24. Therefore, there are 24 red balls.

A bag contains red and blue balls in the ratio of 3:5. If there are 40 blue ball

Practice Questions

Q1
A bag contains red and blue balls in the ratio of 3:5. If there are 40 blue balls, how many red balls are there?
  1. 24
  2. 30
  3. 20
  4. 32

Questions & Step-by-Step Solutions

A bag contains red and blue balls in the ratio of 3:5. If there are 40 blue balls, how many red balls are there?
  • Step 1: Understand the ratio of red to blue balls, which is 3:5.
  • Step 2: Identify that the number of blue balls is 40.
  • Step 3: Set up a proportion using the ratio: 3/5 = x/40, where x is the number of red balls.
  • Step 4: Cross-multiply to solve for x: 3 * 40 = 5 * x.
  • Step 5: Calculate 3 * 40, which equals 120.
  • Step 6: Now you have the equation: 120 = 5 * x.
  • Step 7: Divide both sides by 5 to find x: x = 120 / 5.
  • Step 8: Calculate 120 / 5, which equals 24.
  • Step 9: Conclude that there are 24 red balls.
  • Ratios and Proportions – Understanding how to set up and solve ratios to find unknown quantities.
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