A swimming pool is open for 7 1/2 hours a day. The pool kepps one lifeguard at a time and each lifeguard shift is 1 1/2 hous long. How many shifts are ther per day?

Let the number of shifts per day be x.
Accordingly,
[tex]\begin{gathered} 1\frac{1}{2}x=7\frac{1}{2} \\ \frac{3}{2}x=\frac{15}{2} \\ 3x=15 \\ x=5 \end{gathered}[/tex]Hence, the number of shifts per day is 5