THE FARMER PROBLEM (New Version #2)

Your parents have just bought a home in the country which has space for a garden! The space is 1 acre in size. (1 acre = 43,560 square feet). You want to plant the garden with vegetables. You go to the seed store and find this list of vegetables and how much area is covered by each sack of seed.

VEGETABLE

EACH SACK COVERS

Corn

14,520 sq. ft.

Potatoes 10,890 sq. ft.

Squash

8,712 sq. ft.

Green beans

7,260 sq. ft.

Carrots

3,630 sq. ft.

Your job is to plan your garden. Here are the rules:
  1. You can only buy whole sacks of seeds.
  2. The total of the seeds you buy must cover the entire acre (43,560 sq. ft.) and no more.
  3. You can buy as many sacks of each vegetable as you need.
  4. For a balanced diet, you must plant at least 3 different vegetables. You can plant more than 3 different vegetables if you want to.
  5. You don't have to plant every vegetable.

Your response should be made on the Response Sheet. Be sure to tell us how many sacks of each vegetable you want to plant. Describe any patterns you notice or different ways to solve the problem and your strategy for solving it.

You get more points for discovering 2 or more solutions.

You have 40 minutes to complete this problem.