Answer: 2 bookcases.
Step-by-step explanation:
Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.
According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:
[tex]\frac{2}{1}=\frac{5}{x}[/tex]
Now you must solve for "x" in order to find its value:
[tex](x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5[/tex]
Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:
[tex]x\approx2[/tex]