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In a certain town, the ratio of the number of men to women is 3:4. If there are

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Question: In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?

Options:

  1. 80
  2. 90
  3. 100
  4. 110

Correct Answer: 100

Solution: 

If the ratio of men to women is 3:4, then for every 3 men, there are 4 women. If there are 120 men, we can set up the proportion: 3/4 = 120/x. Cross-multiplying gives us 3x = 480, so x = 160. Therefore, there are 160 women.

In a certain town, the ratio of the number of men to women is 3:4. If there are

Practice Questions

Q1
In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?
  1. 80
  2. 90
  3. 100
  4. 110

Questions & Step-by-Step Solutions

In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?
  • Step 1: Understand the ratio of men to women, which is 3:4. This means for every 3 men, there are 4 women.
  • Step 2: Identify how many men there are in the town. In this case, there are 120 men.
  • Step 3: Set up a proportion using the ratio. We can write it as 3/4 = 120/x, where x is the number of women.
  • Step 4: Cross-multiply to solve for x. This means you multiply 3 by x and 4 by 120.
  • Step 5: Write the equation from the cross-multiplication: 3x = 480.
  • Step 6: Solve for x by dividing both sides of the equation by 3. This gives you x = 480 / 3.
  • Step 7: Calculate the value of x, which is 160. This means there are 160 women in the town.
  • Ratios and Proportions – Understanding how to set up and solve ratios and proportions based on given relationships.
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