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In a certain class, the ratio of boys to girls is 3:2. If there are 30 boys, how

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Question: In a certain class, the ratio of boys to girls is 3:2. If there are 30 boys, how many girls are there?

Options:

  1. 20
  2. 25
  3. 15
  4. 10

Correct Answer: 20

Solution: 

If the ratio of boys to girls is 3:2, then for every 3 boys, there are 2 girls. If there are 30 boys, we can set up the proportion: 3/2 = 30/x. Solving for x gives us x = 20. Therefore, there are 20 girls.

In a certain class, the ratio of boys to girls is 3:2. If there are 30 boys, how

Practice Questions

Q1
In a certain class, the ratio of boys to girls is 3:2. If there are 30 boys, how many girls are there?
  1. 20
  2. 25
  3. 15
  4. 10

Questions & Step-by-Step Solutions

In a certain class, the ratio of boys to girls is 3:2. If there are 30 boys, how many girls are there?
  • Step 1: Understand the ratio of boys to girls, which is 3:2. This means for every 3 boys, there are 2 girls.
  • Step 2: Identify how many boys there are in the class. In this case, there are 30 boys.
  • Step 3: Set up a proportion based on the ratio. We can write it as 3 (boys) / 2 (girls) = 30 (boys) / x (girls).
  • Step 4: Cross-multiply to solve for x. This means 3 * x = 2 * 30.
  • Step 5: Calculate 2 * 30, which equals 60. So now we have 3x = 60.
  • Step 6: Divide both sides of the equation by 3 to find x. So, x = 60 / 3.
  • Step 7: Calculate 60 / 3, which equals 20. Therefore, there are 20 girls in the class.
  • Ratio and Proportion – Understanding and applying the concept of ratios to find unknown quantities.
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