SAT Systems of two linear equations in two variables Practice Question 4 (Easy)

Question bank / Systems of two linear equations in two variables

Math · AlgebraEasy

A farm has only chickens and goats. Together the animals have $30$ heads and $84$ legs. Each chicken has $2$ legs and each goat has $4$ legs. If $c$ is the number of chickens and $g$ is the number of goats, which system represents this situation?

$c + g = 84$
$2c + 4g = 30$

$c + g = 30$
$4c + 2g = 84$

$c + g = 30$
$2c + 4g = 84$

$c + g = 30$
$6(c + g) = 84$

Show answer and explanation

Answer: C

Each animal has one head, so $c + g = 30$ . Chickens contribute $2c$ legs and goats contribute $4g$ legs, so $2c + 4g = 84$ .

Choice B assigns 4 legs to chickens and 2 legs to goats.

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