Question

On aunt may's barn there are 40 animals running around. Her niece counts 80 eyes, but counts 110 legs! the animals that are running around today are goats and chicken how many goats does her niece see? (Solve by using elimination)

Answer 1

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

Learn more about elimination method at:

• brainly.com/question/11150876
• brainly.com/question/11175936

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