A farmer has 120 acres of land. He plants corn and wheat. If he plants 3 times as many acres of corn as wheat, find the number of acres of wheat planted. The number of acres of wheat planted is ____.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to set up and solve a system of linear equations to determine the number of acres of wheat planted in a real-world scenario.
Key Concept Explanation
The key concept is the application of systems of linear equations to solve real-world problems. The student must translate the word problem into a system of equations and then solve it.
Step-by-step Solution
1. Define the variables: Let be the number of acres of corn and be the number of acres of wheat.
2. Formulate the system of equations based on the given information:
3. Substitute into the first equation:
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