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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 in the town, 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, then the number of women can be calculated as follows: (2/3) * 120 = 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 in the town, 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 in the town, 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 the total number of men in the town, which is given as 120.
  • Step 3: Set up a proportion based on the ratio. Since the ratio is 3 men for every 2 women, we can express the number of women as (2/3) of the number of men.
  • Step 4: Calculate the number of women using the formula: (2/3) * 120.
  • Step 5: Perform the calculation: (2/3) * 120 = 80.
  • Step 6: Conclude that there are 80 women in the town.
  • Ratios – Understanding and applying the concept of ratios to determine proportional relationships between quantities.
  • Proportions – Using proportions to calculate unknown quantities based on known values in a ratio.
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