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In a certain company, the ratio of the number of engineers to the number of mana

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Question: In a certain company, the ratio of the number of engineers to the number of managers is 5:2. If there are 70 engineers, how many managers are there?

Options:

  1. 28
  2. 30
  3. 35
  4. 40

Correct Answer: 28

Solution: 

Let the number of managers be x. According to the ratio, 5/2 = 70/x. Cross-multiplying gives 5x = 140, so x = 28.

In a certain company, the ratio of the number of engineers to the number of mana

Practice Questions

Q1
In a certain company, the ratio of the number of engineers to the number of managers is 5:2. If there are 70 engineers, how many managers are there?
  1. 28
  2. 30
  3. 35
  4. 40

Questions & Step-by-Step Solutions

In a certain company, the ratio of the number of engineers to the number of managers is 5:2. If there are 70 engineers, how many managers are there?
  • Step 1: Understand the ratio of engineers to managers, which is 5:2.
  • Step 2: Let the number of managers be represented by 'x'.
  • Step 3: Set up the ratio using the number of engineers (70) and the number of managers (x): 5/2 = 70/x.
  • Step 4: Cross-multiply to eliminate the fraction: 5 * x = 2 * 70.
  • Step 5: Calculate the right side: 2 * 70 = 140, so now we have 5x = 140.
  • Step 6: Solve for x by dividing both sides by 5: x = 140 / 5.
  • Step 7: Calculate 140 divided by 5, which equals 28.
  • Step 8: Conclude that there are 28 managers.
  • Ratios – Understanding and applying ratios to find unknown quantities based on given relationships.
  • Cross-Multiplication – Using cross-multiplication to solve equations derived from ratios.
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