Question

Roy planted corn on $\frac{1}{5}$ of his land. If he planted $45$ acres of corn, how many acres of land does he have?

• A. $90$
• B. $112\frac{1}{2}$
• C. $135$
• D. $225$
• E. $337\frac{1}{2}$

Answer 1

Answer: (D)

$225$

Let the Number of acres of land Roy have $=$ $x$

As he planted corn on $\frac{1}{5}$ of his land,

Number of acres of his land planted with corn $=$ $\frac{1}{5}$ $\times$ Number of acres of land Roy have $=$ $\frac{x}{5}$

As he planted $45$ acres of his land with corn,

$\Rightarrow \frac{x}{5}$ $=$ $45$

$\Rightarrow x$ $=$ $45$ $\times$ $5$

$\Rightarrow x$ $=$ $225$

Therefore, number of acres of land Roy have is ${}^{\prime }{225}^{\prime }$.