Question

A farmer grows only pumpkins and corn on her 420 ace farm.this year she wants to plant 250 more acres of corn than pumpkins. How many acres of each crop should the farmer plant

Answer 1

The farmer should plant 85 acres of pumpkins and 335 acres of corn on her 420-acre farm to have 250 more acres of corn than pumpkins.

Step-by-step explanation:

The task is to determine how many acres of pumpkins and corn the farmer should plant on her 420-acre farm given that she wants to plant 250 more acres of corn than pumpkins. To solve this, we set up a system of equations:

• Let x represent the number of acres of pumpkins.
• Let x + 250 represent the number of acres of corn.

The sum of the acres for both crops is the total farm size: x (pumpkins) + (x + 250) (corn) = 420 acres.

Solving the equation:

1. x + (x + 250) = 420
2. 2x + 250 = 420
3. 2x = 420 - 250
4. 2x = 170
5. x = 85

So, the farmer should plant 85 acres of pumpkins and 335 acres of corn (85 + 250).

Answer 2

She should plant 335 corn acres and 85 pumpkin acres.