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