Washington State Math Council
Middle School Math Olympiad 1997
THE FARMER PROBLEM--Grade 5
You 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 some good things to eat. You go to the seed store and find this list of vegetables and how much land is covered by each sack of seed.
VEGETABLE |
EACH SACK COVERS |
Corn |
5000 sq. ft. |
Soybeans | 8750 sq. ft. |
Squash |
7250 sq. ft. |
Green beans |
6250 sq. ft. |
Peas |
7310 sq. ft. |
You can only buy whole sacks of seeds. You are a very thrifty farmer and don't want to waste seed!
Your job is to plan your garden. Decide what vegetables you want to plant and how many sacks of seed you need of each vegetable so that you plant as much of your 1 acre as you can and have as little seed as possible left over. You don't have to plant every vegetable. |
Your response should be made on the Response Sheet in 3 parts:
You have 40 minutes to complete the problem.
Link to the Response Sheet