Question

Question 131 ptsIt takes a team of 8 workers 2 hours and 15 minutes to clean 12 apartments. Howmany apartments can the tearsclean in 9 hours?

Answer 1

$48\:apartments\:in\:9\:hours$

1) In this problem, the first thing to do is to enlist the categories:

workers time to clean # apartments

8 2h15 12

8 9 x

2) Note that the number of cleaners is the same. So, we can pick the ratios that fall under the category time and #apartments

We need to convert that 2h 15 into decimal form before setting the ratios:

$2h15\:2+\frac{15}{60}=2.25$

3) Now, we can set the ratios and solve for x:

$\begin{gathered} \frac{2.25}{9}=\frac{12}{x} \\ 2.25x=12\cdot9 \\ \frac{2.25x}{2.25}=\frac{108}{2.25} \\ x=48 \end{gathered}$

Thus, the answer is 48