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The question reads as follows:

"A school is organizing a weekend trip to a nature preserve. For each student, there is a $50 charge, which covers food and lodging. There is also a $9 charge per student for the bus. The school must also pay a $15 cleaning fee for the bus. If the total cost of the weekend is $3,765, how many students are going on the trip?"

Let the number of students be $ x $. The cost per student is the sum of the $50 charge and the $9 charge for the bus, which totals $59. Therefore, the total cost for $ x $ students is $ 59x $. Additionally, the school pays a $15 cleaning fee for the bus.

The total cost is the sum of these two components:
\[
59x + 15 = 3765
\]

Now, we can solve for $ x $:

\[
59x + 15 = 3765
\]
\[
59x = 3765 - 15
\]
\[
59x = 3750
\]
\[
x = \frac{3750}{59}
\]
\[
x \approx 63.56
\]

Since the number of students must be an integer, we round to the nearest whole number. Thus, **64 students** are going on the trip.

However, none of the provided answer choices exactly match this, so there might be a minor calculation assumption or a rounding issue in the provided question or options.

Would you like to explore further or check any specific details?

Here are some related questions you might be interested in:
1. What happens if the cleaning fee was higher?
2. How would the calculation change if the bus cost per student was different?
3. What would be the total cost if the number of students was exactly 50?
4. How does changing the number of students impact the overall trip cost?
5. How could we calculate the total trip cost with different student numbers?

**Tip:** Always recheck rounding when dealing with real-world constraints like integer values for people or students.

A school is organizing a weekend trip to a nature preserve. For each student, there is a $50 charge, which covers food and lodging. There is also a $9 charge per student for the bus. The school must also pay a $15 cleaning fee for the bus. If the total cost of the weekend is $3,765, how many students are going on the trip?

Learn how to calculate the number of students going on a school trip using linear equations. The total cost of the trip is $3,765, with a $50 charge per student and a $9 bus fee. This problem covers basic algebra and cost calculation concepts for students in Grades 6-8.

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