A farmer has 100 acres of land and wants to plant two types of crops: corn and wheat. He plans to plant 3 times as much corn as wheat. The number of acres of wheat is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to set up and solve a system of linear equations based on a word problem. The key is to correctly interpret the relationships given in the problem and translate them into mathematical equations.
Key Concept Explanation
The problem involves setting up a system of equations based on the given information and solving it to find the number of acres of wheat.
Step-by-step Solution
1. Let be the number of acres of wheat, be the number of acres of corn. So w + c =100.
2. The number of acres of corn is .
3. The total land equation is .
4. Simplify the equation:
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