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, the

Question

3 years ago

7

re are 48 heads and 134 legs. Can you tell Ben how many sheep does he have?

2 answers:

Jobisdone [24] · Answer 1 · 2022-06-14T20:46:16+03:00

7 0

C+s=48
2c+4s=134 ⇒ c+2s=67

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

shusha [124] · Answer 2 · 2022-06-14T22:42:41+03:00

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 $\boxed{29}.$

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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.