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In a certain town, the ratio of the number of men to women is 3:2. If there are

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Question: In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men, how many women are there?

Options:

  1. 80
  2. 60
  3. 40
  4. 100

Correct Answer: 80

Solution: 

If the ratio of men to women is 3:2, then for every 3 men, there are 2 women. If there are 120 men, we can set up the proportion: 3/2 = 120/x. Solving for x gives x = 80. Therefore, there are 80 women.

In a certain town, the ratio of the number of men to women is 3:2. If there are

Practice Questions

Q1
In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men, how many women are there?
  1. 80
  2. 60
  3. 40
  4. 100

Questions & Step-by-Step Solutions

In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men, how many women are there?
  • Step 1: Understand the ratio of men to women, which is 3:2. This means for every 3 men, there are 2 women.
  • Step 2: Identify how many men there are in the town, which is given as 120 men.
  • Step 3: Set up a proportion based on the ratio. We can write it as 3 (men) / 2 (women) = 120 (men) / x (women).
  • Step 4: Cross-multiply to solve for x. This means 3 * x = 2 * 120.
  • Step 5: Calculate 2 * 120, which equals 240. So now we have 3x = 240.
  • Step 6: Divide both sides of the equation by 3 to find x. So, x = 240 / 3.
  • Step 7: Calculate 240 / 3, which equals 80. Therefore, x = 80.
  • Step 8: Conclude that there are 80 women in the town.
  • Ratios – Understanding and applying the concept of ratios to solve problems involving proportional relationships.
  • Proportions – Setting up and solving proportions to find unknown quantities based on given ratios.
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