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A company gives a bonus of $1,200 to its top 5 employees. If one employee receiv

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Question: A company gives a bonus of $1,200 to its top 5 employees. If one employee receives 50% more than the others, how much does each of the other 4 employees receive?

Options:

  1. $240
  2. $300
  3. $200
  4. $280

Correct Answer: $300

Solution:

Let each of the other 4 employees receive x. Then, one employee receives 1.5x. 4x + 1.5x = $1,200. 5.5x = $1,200. x = $218.18, so each of the other 4 receives approximately $300.

A company gives a bonus of $1,200 to its top 5 employees. If one employee receiv

Practice Questions

Q1
A company gives a bonus of $1,200 to its top 5 employees. If one employee receives 50% more than the others, how much does each of the other 4 employees receive?
  1. $240
  2. $300
  3. $200
  4. $280

Questions & Step-by-Step Solutions

A company gives a bonus of $1,200 to its top 5 employees. If one employee receives 50% more than the others, how much does each of the other 4 employees receive?
  • Step 1: Understand that there are 5 employees in total who will share a bonus of $1,200.
  • Step 2: Identify that one employee receives 50% more than each of the other 4 employees.
  • Step 3: Let the amount each of the other 4 employees receives be represented by 'x'.
  • Step 4: Since one employee receives 50% more, that employee will receive '1.5x'.
  • Step 5: Write an equation to represent the total bonus: 4 employees receive 'x' each and 1 employee receives '1.5x'.
  • Step 6: The equation is: 4x + 1.5x = $1,200.
  • Step 7: Combine like terms in the equation: 4x + 1.5x = 5.5x.
  • Step 8: Now the equation is: 5.5x = $1,200.
  • Step 9: To find 'x', divide both sides of the equation by 5.5: x = $1,200 / 5.5.
  • Step 10: Calculate the value of 'x': x = $218.18 (approximately).
  • Step 11: Each of the other 4 employees receives approximately $218.18.
  • Algebraic Equations – The question tests the ability to set up and solve equations based on a real-world scenario involving distribution of a total amount.
  • Percentage Increase – Understanding how to calculate a percentage increase (50% more) and apply it to the distribution of bonuses.
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