The number of sheep Ben has is [tex]\boxed{19}[/tex] and the number chicken Ben has is [tex]\boxed{29}.[/tex]
Further explanation:
Given:
The total number of heads in the farm is 48.
The total number of legs in the farm is 134.
Explanation:
A sheep has 4 legs and a chicken has 2 legs.
Consider the number of sheep in the farm as [tex]\text{x}[/tex].
Consider the number of chicken in the farm as [tex]\text{y}[/tex].
The total number heads present in the farm is 48.
[tex]\begin{aligned}x + y &= 48\\y&= 48 - x\\\end{aligned}[/tex]
The total number of legs present in the farm is 134.
[tex]\begin{aligned}2y + 4x &= 134\\y + 2x &= 67\\\end{aligned}[/tex]
Substitute [tex]y = 48 - x[/tex] in equation [tex]y + 2x = 67.[/tex]
[tex]\begin{aligned}48 - x + 2x &= 67\\48 + x &= 67\\x &= 67 - 48\\x&=19\\\end{aligned}[/tex]
The number of sheep is 19.
The number of chicken can be calculated as follows,
[tex]\begin{aligned}y&= 48 - 19\\&= 29\\\end{aligned}[/tex]
The number of sheep Ben has is \boxed{19} and the number chicken Ben has is [tex]\boxed{29}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: chickens, sheep, uncle Ben`s, farm, sadly, 48 heads, 134 legs, sheep, Ben.
