Chapter 6.4, Problem 14MCQ

To determine

To find the number of acres of each crop should the farmer plant.

Answer to Problem 14MCQ

85 acres of land planted with pumpkins and 335 acres of land planted with corn.

Explanation of Solution

Given information:

A farmer grows pumpkins and corn on her 420 acre farm and she wants to plant 250 more acres of corn than pumpkins.

Calculation:

Let $x$ acres of land be planted with pumpkins, then $x+250$ acres of land is planted with corn.

Now given that the total land is 420 acre. That is,

  $\begin{array}{l}x+\left(x+250\right)=420\\ \Rightarrow 2x+250=420\\ \Rightarrow 2x=170\\ \Rightarrow x=85\end{array}$

Hence 85 acres of land must be planted with pumpkins and $85+250=335$ acres of land must be planted with corn.