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A college has a ratio of boys to girls as 3:2. If there are 300 boys, how many g

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Question: A college has a ratio of boys to girls as 3:2. If there are 300 boys, how many girls are there?

Options:

  1. 200
  2. 150
  3. 100
  4. 250

Correct Answer: 200

Solution: 

Let the number of girls be x. Then, 3/2 = 300/x. Cross-multiplying gives 3x = 600, so x = 200.

A college has a ratio of boys to girls as 3:2. If there are 300 boys, how many g

Practice Questions

Q1
A college has a ratio of boys to girls as 3:2. If there are 300 boys, how many girls are there?
  1. 200
  2. 150
  3. 100
  4. 250

Questions & Step-by-Step Solutions

A college has a ratio of boys to girls as 3:2. If there are 300 boys, how many girls are there?
  • Step 1: Understand the ratio of boys to girls, which is 3:2.
  • Step 2: Let the number of girls be represented by 'x'.
  • Step 3: Set up the ratio using the number of boys: 3/2 = 300/x.
  • Step 4: Cross-multiply to eliminate the fraction: 3 * x = 2 * 300.
  • Step 5: Calculate the right side: 2 * 300 = 600, so now we have 3x = 600.
  • Step 6: Solve for 'x' by dividing both sides by 3: x = 600 / 3.
  • Step 7: Calculate the value: x = 200.
  • Step 8: Conclude that there are 200 girls.
  • Ratio and Proportion – Understanding and applying the concept of ratios to find unknown quantities.
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