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Lena is scheduling 35 part-time employees to complete a project. Of those employees, 1/5 work mornings only, 10 work only afternoons, and the rest alternate between mornings and afternoons. If Lena plans on using all of her morning only staff, 1/2 of her afternoon only staff, and 1/3 of her remaining staff, how many people will Lena schedule?30241823

Question

Lena is scheduling 35 part-time employees to complete a project. Of those employees, 1/5 work mornings only, 10 work only afternoons, and the rest alternate between mornings and afternoons. If Lena plans on using all of her morning only staff, 1/2 of her afternoon only staff, and 1/3 of her remaining staff, how many people will Lena schedule?30241823

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Solution

Sure, let's break it down:

  1. Calculate the number of employees who work only in the mornings: 35 * 1/5 = 7 employees
  2. Calculate the number of employees who work only in the afternoons: 10 employees
  3. Calculate the number of employees who alternate between mornings and afternoons: 35 - 7 - 10 = 18 employees

Now, let's calculate how many people Lena will schedule:

  1. She plans on using all of her morning only staff: 7 employees
  2. She plans on using 1/2 of her afternoon only staff: 10 * 1/2 = 5 employees
  3. She plans on using 1/3 of her remaining staff: 18 * 1/3 = 6 employees

So, the total number of people Lena will schedule is: 7 + 5 + 6 = 18 employees.

This problem has been solved

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