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:
[tex]2h15\:2+\frac{15}{60}=2.25[/tex]3) Now, we can set the ratios and solve for x:
[tex]\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}[/tex]Thus, the answer is 48
