Question

3 multiple choice 3 points
a companys ratio of full-time to part-time employees is 5:2. if there are 14 part-time employees, how many full-time employees are there?
70
10
35
28

Explanation:

Step1: Define ratio variable

Let $x$ = scaling factor.
Full-time: $5x$, Part-time: $2x$

Step2: Solve for scaling factor

Set part-time equal to 14:
$2x = 14$
$x = \frac{14}{2} = 7$

Step3: Calculate full-time employees

Substitute $x=7$ into full-time expression:
$5x = 5 \times 7 = 35$

Answer:

35 (Option C)