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Svetllana [295]
4 years ago
8

there are a total of 44 goats and chickens being raised. between them, they have 134 legs. how many goats are in total? how many

chickens in total?
Mathematics
1 answer:
sergeinik [125]4 years ago
3 0

21 chickens and  23 goats=44

21x2=42    23x4=92

42+92 = 134 legs

x=goats     y= chikens     goats 4 legs   chickens 2 legs

x+y=44      x=44-y

4(44-y) + 2(y) =134

176-4y +2y = 134

176-2y=134

-2y= -42

-y= -21

y=21



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<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%7B2%7D%5E%7B%20-%20%20%5Cfrac%7Bt%7D%7B5%7D%20%7D%20%20%3D%20288" id="TexFo
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~H~e~l~l~o~ !

\text{\underline{A N S W E R : }}

t = -1400

\boxed{\text{EXPLANATION :}}

Multiply the numbers.

4  ·  2 - 1 · \frac{t}{5} = 288

8 - 1 · \frac{t}{5} = 288

Combine multiplied terms into a single fraction.

8 - 1 · \frac{t}{5} = 288

8 + \frac{-t}{5} = 288

Subtract  8  from both sides of the equation.

8 + \frac{-t}{5}  = 288

\frac{-t}{5}  = 280

Multiply all terms by the same value to eliminate fraction denominators.

\frac{-t}{5}  = 2 8 0

5 · \frac{-t}{5} = 5 ·  280

Cancel multiplied terms that are in the denominator.

5   ·  \frac{-t}{5} = 5 ·  280

-t = 5 · 280

Multiply the numbers.

-t = 5 · 280

- t = 1400.

Divide both sides of the equation by the same term.

- t = 1400

\frac{-t}{-1} =\frac{1400}{-1}

Simplify.

t = - 1400

Solution.

- 1400.

\textit{ Hope It Helped! }

\text{\underline{A N S W E R : }}

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\boxed{\text{And ask me, if you have any questions ! :)}}

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