A local farmer has a total of 150 apples and oranges. If the number of apples is 30 more than the number of oranges, how many oranges does the farmer have? The number of oranges 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 real-world word problem. The problem involves two variables (the number of apples and the number of oranges) and provides two pieces of information: the total number of fruits and the relationship between the number of apples and oranges.
Key Concept Explanation
The key concept here is understanding how to translate a word problem into a system of equations and then solving it. The problem requires setting up the equations based on the given information and solving for the unknowns.
Step-by-step Solution
1. Define the variables: Let be the number of oranges and be the number of apples.
2. Write the system of equations based on the given information:
3. Substitute the second equation into the first equation:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.