Answer: 4 acres
Step-by-step explanation:
Given: The number of acres farmland Carlos has =[tex]7\frac{1}{2}\ acres[/tex]
The land he uses to graze animals =[tex]\frac{1}{3}\times7\frac{1}{2}[/tex]
[tex]=\frac{1}{3}\times\frac{15}{2}\\\\=\frac{5}{2}\ acres[/tex]
The land he uses to grow vegetables =[tex]\frac{1}{5}\times7\frac{1}{2}[/tex]
[tex]=\frac{1}{5}\times\frac{15}{2}\\\\=\frac{3}{2}\ acres[/tex]
The land he uses to graze animals or for growing vegetables=[tex]\frac{5}{5}+\frac{3}{2}=\frac{8}{2}=4\ acres[/tex]