retailsy inc. is offering a job that gives $\frac{1}{2}$ day paid time off for every 2 weeks worked. how…

retailsy inc. is offering a job that gives $\frac{1}{2}$ day paid time off for every 2 weeks worked. how many weeks will an employee need to work to earn 5 days of paid time off? a 30 weeks b 20 weeks c 10 weeks d 5 weeks
Answer
Explanation:
Step1: Set up proportion
Let $x$ be the number of weeks. The ratio of paid - time off to weeks is $\frac{\frac{1}{2}}{2}=\frac{5}{x}$.
Step2: Cross - multiply
$\frac{1}{2}x = 2\times5$.
Step3: Solve for $x$
$\frac{1}{2}x=10$, then $x = 20$.
Answer:
B. 20 weeks