System of equations word problem: infinite solutions | Algebra I | High School Math | Khan Academy

TL;DR

Farmer Jan grows different crops in his field, but the given information is not enough to determine the exact number of acres for broccoli and spinach.

Transcript

• [Voiceover] Farmer Jan is a vegetable farmer who divides his field between broccoli crops and spinach crops. Last year, he grew six tons of broccoli per acre, so six tons of broccoli per acre, and nine tons of spinach, nine tons of spinach per acre, for a total of 93 tons of vegetables. This year, he grew two tons of broccoli per acre, so this ye... Read More

Key Insights

• 🎙️ Farmer Jan's crop production varies each year based on the quantity of crops per acre.
• 💁 The given information only provides the total weight of vegetables, not the specific acreage for each crop.
• 🥺 Solving the system of equations leads to an infinite number of solutions.
• 💁 To determine the exact number of acres for each crop, additional information is required.
• 💗 The information presented suggests that Farmer Jan's field is used to grow both broccoli and spinach.
• 🏋️ The weight of vegetables per acre can be calculated using the given data.
• 🏋️ The total weight of vegetables can be calculated by multiplying the weight per acre with the number of acres.

Questions & Answers

Q: How much broccoli did Farmer Jan grow last year?

Farmer Jan grew 6 tons of broccoli per acre, and the total weight of broccoli can be calculated as 6B, where B is the number of acres.

Q: How much spinach did Farmer Jan grow last year?

Farmer Jan grew 9 tons of spinach per acre, and the total weight of spinach can be calculated as 9S, where S is the number of acres.

Q: How much broccoli did Farmer Jan grow this year?

Farmer Jan grew 2 tons of broccoli per acre, and the total weight of broccoli can be calculated as 2B, where B is the number of acres.

Q: How much spinach did Farmer Jan grow this year?

Farmer Jan grew 3 tons of spinach per acre, and the total weight of spinach can be calculated as 3S, where S is the number of acres.

Summary & Key Takeaways

• Last year, Farmer Jan grew 6 tons of broccoli and 9 tons of spinach per acre, totaling 93 tons of vegetables.

• This year, he grew 2 tons of broccoli and 3 tons of spinach per acre, totaling 31 tons of vegetables.

• The given information does not provide enough details to determine the number of acres for each crop.