Question

farming the rolling hills farm is 126 acres. this is $\frac{1}{4}$ the size of the brianwood farm. write and solve an equation to determine the number of acres $a$ of the brianwood farm.

a) $4=\frac{1}{126}a$; $a = 504$ acres

b) $126 = 4a$; $a = 31.5$ acres

c) $126=\frac{1}{4}a$; $a = 504$ acres

d) $126=\frac{1}{4}a$; $a = 504$ acres

Explanation:

Step1: Set up the equation

Let the number of acres of Brianwood Farm be $a$. Given that 126 acres (Rolling Hills Farm) is $\frac{1}{4}$ the size of Brianwood Farm, the equation is $126=\frac{1}{4}a$.

Step2: Solve for $a$

Multiply both sides of the equation by 4. So, $a = 126\times4=504$.

Answer:

D. 126 = $\frac{1}{4}a$; $a = 504$ acres