To solve this problem, we first need to determine how many students bought lunch and how many brought lunch from home.
We know that:
- Total number of students = 15
- Number of students who brought lunch from home = 12
Therefore, the number of students who bought lunch can be calculated as: Number of students who bought lunch = Total number of students - Number of students who brought lunch from home = 15 - 12 = 3
Now, we analyze the options given:
A. For each student who bought lunch, there are 3 students that brought lunch from home.
- There are 3 students who bought lunch and 12 who brought lunch from home, so the ratio is 12:3, which simplifies to 4:1. This statement is false.
B. For every 3 students who bought lunch, there is 1 student who brought lunch from home.
- There are 3 students who bought lunch, which means there are 0 groups of 3 students who bought lunch. The number of students who brought lunch from home is 12, which does not fit this statement. This is also false.
C. For each student who bought lunch, there are 4 students that brought lunch from home.
- Since there are 3 students who bought lunch and 12 who brought lunch from home, the ratio is 12:3, which simplifies to 4:1. This statement is true.
D. For every 4 students who bought lunch, there is 1 student who brought lunch from home.
- There are 3 students who bought lunch, thus we cannot divide them into groups of 4. This statement is also false.
Thus, the correct response is: C. For each student who bought lunch, there are 4 students that brought lunch from home.
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