Question

there are 3 full-time employees in your office for every 5 who are part-time.

if there are 25 part-time employees, how many full-time employees are there?

a.) 12 full-time employees
b.) 20 full-time employees
c.) 10 full-time employees
d.) 15 full-time employees

Explanation:

Set up the ratio of full-time to part-time employees

$$ \text{Ratio} = \frac{\text{Full-time}}{\text{Part-time}} = \frac{3}{5} $$

Set up the proportion with the given number of part-time employees

$$ \frac{x}{25} = \frac{3}{5} $$

Solve for the number of full-time employees

$$ x = 25 \times \frac{3}{5} = 5 \times 3 = 15 $$

Answer:

• a.) 12 full-time employees
• b.) 20 full-time employees
• c.) 10 full-time employees
• d.) 15 full-time employees (Correct answer)