Question

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

Answer 1

Step-by-step explanation:

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Answer 2

$Given \: Total \:animals \: in \: a \:farm = 50$

$Let \: number \: of \: donkeys = x$

$Number \:of \: chickens = ( 50 - x )$

$Number \: of \: legs \: each \:donkey \: have = 4$

$Number \: of \: legs \: each \:chicken \: have = 2$

/* According to the problem given */

$\blue { Total \: legs = 174 }$

$\implies 4x + 2( 50 - x ) = 174$

/* Dividing each term by 2 , we get */

$\implies 2x + 50 - x = 87$

$\implies x = 87 - 50$

$\implies x = 37$

Therefore.,

$\red{ Number \: of \: donkeys } \green { = 37 }$

$\red{ Number \: of \: chickens }\\= 50 - x \\= 50 - 37 \\= \green { = 13 }$

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