Question

There are a lot of chickens and sheep in uncle Ben`s Farm, but he sadly forget how many he has now. Only thing he remembers, there are 48 heads and 134 legs. Can you tell Ben how many sheep does he have?

Answer 1

C+s=48
2c+4s=134  ⇒ c+2s=67

subtracting the equations, we get, s=67-48=19,
so, c=48-19=29

Answer 2

The number of sheep Ben has is $\boxed{19}$ and the number chicken Ben has is $\boxed{29}.$

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 $\text{x}$.

Consider the number of chicken in the farm as $\text{y}$.

The total number heads present in the farm is 48.

$\begin{aligned}x + y &= 48\\y&= 48 - x\\\end{aligned}$

The total number of legs present in the farm is 134.

$\begin{aligned}2y + 4x &= 134\\y + 2x &= 67\\\end{aligned}$

Substitute $y = 48 - x$ in equation $y + 2x = 67.$

$\begin{aligned}48 - x + 2x &= 67\\48 + x &= 67\\x &= 67 - 48\\x&=19\\\end{aligned}$

The number of sheep is 19.

The number of chicken can be calculated as follows,

$\begin{aligned}y&= 48 - 19\\&= 29\\\end{aligned}$

The number of sheep Ben has is \boxed{19} and the number chicken Ben has is $\boxed{29}.$

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: chickens, sheep, uncle Ben`s, farm, sadly, 48 heads, 134 legs, sheep, Ben.