Question
- A survey asked 60 randomly chosen students if they eat school lunch. 40 said yes. There were 240 school lunches sold today. Predict the number of students who attend the school.
Ask by Evans Rowe. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The predicted number of students attending the school is 360.
Solution
-
Let
be the total number of students attending the school. -
From the survey, the proportion of students who eat school lunch is
-
Assuming that this proportion applies to the whole school, the number of students who eat school lunch is given by
-
Given that 240 school lunches were sold, we set up the equation
-
To solve for
, multiply both sides of the equation by : -
Therefore, the predicted number of students attending the school is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
Based on the survey, we found that 40 out of 60 students eat school lunch, which gives us a proportion of approximately 66.67%. To predict the total number of students in the school, we can set up a proportion: if 66.67% of students eat lunch and 240 lunches were sold, we can calculate the total number of students. Dividing the lunches sold by the proportion gives:
Now, it’s important to remember that survey samples can have inclination. The 60 students surveyed might not perfectly represent the entire school, so there could be some variation in actual attendance. Keep this in mind when making predictions based on surveys!
