Answer:
200 boards
Step-by-step explanation:
Given: Tom has a can of paint that can cover [tex]37\frac{1}{2}[/tex] square meters. Each board on the fence has an area of [tex]\frac{3}{16}[/tex] square meters.
To find: The number of boards he can paint.
Solution: It is given that the paint of the can cover [tex]37\frac{1}{2}=\frac{75}{2}[/tex] square meters.
Area of each board is [tex]\frac{3}{16}[/tex] square meters.
To find the number of board he can paint, we need to divide [tex]\frac{75}{2}[/tex] by [tex]\frac{3}{16}[/tex]
So, the number of board he can paint
[tex]=\frac{\frac{75}{2} }{\frac{3}{16} }[/tex]
[tex]=\frac{75}{2}\times\frac{16}{3}[/tex]
[tex]=200[/tex]
Hence, 200 boards can be painted.
