Question

Many employers pay out bonuses. Perhaps in your company managers get twice as large a bonus as employees. Your company has five managers and 25 employees. If it announces a $35,000 total bonus, what is your share as an employee?

a) $875
b) $1,750
c) $1,400
d) $700

Answer 1

Upon calculating the share of an employee's bonus from a $35,000 total, with managers getting twice as much as employees, the correct share per employee comes out to $1,000. However, this does not match any of the multiple-choice options provided, indicating a potential error in the problem's details or options.

Step-by-step explanation:

The question is a problem-solving task involving proportions and algebra to determine the share of a bonus for each employee at a company, where managers receive a higher bonus than the employees. To solve this, we can denote the employee's bonus as x and the manager's bonus as 2x since managers receive twice as much as employees. With 5 managers and 25 employees, the total amount of bonuses paid out can be described by the equation 5(2x) + 25(x) = $35,000.

Solving for x yields the employee's share. The equation simplifies to 10x + 25x = $35,000, which further simplifies to 35x = $35,000. Dividing both sides by 35 we get x = $1,000. However, since this is not one of the multiple-choice options provided, we'll need to review our calculation to identify any errors made.

Upon re-evaluation, the correct calculation would be: 10x + 25x = $35,000 simplified to 35x = $35,000, and x equals $35,000 / 35, which is $1,000. Considering the options given: a) $875, b) $1,750, c) $1,400, and d) $700, none of the options match the calculated share of $1,000 for an employee. Therefore, there might be a mistake in the multiple-choice options provided or in the total bonus amount stated in the problem.