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The problem asks: **If 5 out of 8 students will buy lunch today, how many of the 720 students in the school will buy lunch today?**

This is a proportion problem. Here's how to solve it:

1. We know that 5 out of 8 students will buy lunch. This can be expressed as a fraction of students:  
   \[
   \frac{5}{8}
   \]

2. To find how many students in the school will buy lunch, multiply this fraction by the total number of students in the school, which is 720:
   \[
   \text{Number of students buying lunch} = \frac{5}{8} \times 720
   \]

3. Perform the multiplication:
   \[
   \frac{5}{8} \times 720 = 5 \times 90 = 450
   \]

So, **450 students** are expected to buy lunch today.

Would you like any more details, or do you have questions about this?

Here are 5 related questions to extend your understanding:
1. What is the probability that a randomly chosen student will buy lunch?
2. If the number of students buying lunch increases to 600, what fraction of the student body is this?
3. How many students would buy lunch if 6 out of 10 students participated in the survey instead?
4. If 10% of the students who planned to buy lunch change their mind, how many will still buy lunch?
5. How would the result change if only 4 out of 8 students were expected to buy lunch?

**Tip:** Proportions are a powerful tool for predicting outcomes in larger populations based on sample data.

A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 students in the school will buy lunch today?

This lesson covers how to solve a proportion problem where 5 out of 8 students will buy lunch, predicting how many students out of 720 will buy lunch based on the given ratio. Suitable for Grades 5-7.

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