Answer
The farmer should plant 85 acres of pumpkin and 335 acres of corn.
Work Step by Step
Let p = Acres of pumpkin and c = Acres of corn
A farmer grows only pumpkins and corn on her 420-acre farm. This means: $p + c =420$
This year she wants to plant 250 more acres of corn than pumpkins: $c=p+250$
Use substitution since both equations have been solved for $p$.
$p + c =420$
$p+p+250=420$
$2p=170$
$p=85$
$\rightarrow c=335$
The farmer should plant 85 acres of pumpkin and 335 acres of corn.
