Steph20051
contestada

Carlos has 7 1/2 acres of farmland. He uses 1/3 of the acres to graze animals and 1/5 of the acres to grow vegetables . How many acres does Carlos use for grazing animals or for growing vegetables.??

Respuesta :

6 29/30 because 1/3=10/30 and 1/5= 6/30. 6/30+10/30=16/30 an 7 1/2= 7 15/30. 7/15/30-16/30+ 6/29
JeanaShupp

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]

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