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

Practice Questions

Q1
A bag contains red and blue balls in the ratio of 5:3. If there are 40 red balls, how many blue balls are there?
  1. 24
  2. 30
  3. 20
  4. 16

Questions & Step-by-Step Solutions

A bag contains red and blue balls in the ratio of 5:3. If there are 40 red balls, how many blue balls are there?
  • Step 1: Understand the ratio of red to blue balls, which is 5:3.
  • Step 2: Identify how many parts the ratio has in total. Add the parts of red and blue: 5 + 3 = 8 parts.
  • Step 3: Determine how many red balls correspond to one part. Since there are 40 red balls, divide 40 by the number of red parts: 40 / 5 = 8 balls per part.
  • Step 4: Calculate the number of blue balls. Since blue balls are 3 parts, multiply the number of balls per part by 3: 8 * 3 = 24 blue balls.
  • Ratios – Understanding and applying the concept of ratios to find the quantity of one item based on the quantity of another.
  • Proportions – Using proportions to relate the quantities of red and blue balls based on their given ratio.
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