On aunt may's barn there are 40 animals running around. Her niece counts 80 eyes, but counts 110 legs! the animals that are runn

Question

4 years ago

14

ing around today are goats and chicken how many goats does her niece see? (Solve by using elimination)

1 answer:

mylen [45] · Answer 1 · 2021-12-06T00:24:32+03:00

Her niece sees 15 goats.

Step-by-step explanation:

Given,

Total animals on barn = 40

Total legs counted by May's niece = 110

A goat has 4 legs and chicken has 2 legs.

Let,

x represent the number of goats

y represent the number of chicken

x+y=40 Eqn 1

4x+2y=110 Eqn 2

Multiplying Eqn 1 by 4

$4(x+y=40)\\4x+4y=160\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(4x+4y)-(4x+2y)=160-110\\4x+4y-4x-2y=50\\2y=50$

Dividing both sides by 2

$\frac{2y}{2}=\frac{50}{2}\\y=25$

Putting y = 25 in Eqn 1

$x+25=40\\x=40-25\\x=15$

Her niece sees 15 goats.

Keywords: linear equation, elimination method

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