Swanson Middle School has 800 students in Mia's class five out of eight students ride the bus to school. Based on these results, how many students at the school are expected to ride the bus?

To find how many students at Swanson Middle School are expected to ride the bus, we can use the ratio of students in Mia's class who ride the bus and apply it to the entire school population.

We are given that 5 out of 8 students in Mia's class ride the bus. This ratio is \( \frac{5}{8} \). Now, we can set up a proportion to find how many students at the entire school ride the bus. Let \( x \) represent the number of students expected to ride the bus out of 800.

\[
\frac{5}{8} = \frac{x}{800}
\]

Now, solve for \( x \) by cross-multiplying:

\[
5 \times 800 = 8 \times x
\]

\[
4000 = 8x
\]

\[
x = \frac{4000}{8} = 500
\]

So, 500 students at Swanson Middle School are expected to ride the bus.

Would you like further details or explanations?

Here are 5 related questions to explore:

1. What is the percentage of students expected to ride the bus?
2. How many students are expected *not* to ride the bus?
3. If the ratio changes to 3 out of 4 students riding the bus, how many would that be?
4. How would the number change if the school had 1,000 students instead of 800?
5. If another school has the same bus ratio but 1,200 students, how many would ride the bus?

**Tip:** When solving ratio problems, setting up a proportion is a reliable method to find unknown values.

Swanson Middle School has 800 students. In Mia's class, five out of eight students ride the bus to school. Based on these results, how many students at the school are expected to ride the bus?

Find out how many students at Swanson Middle School are expected to ride the bus using the ratio 5/8. This problem explores key mathematical concepts like ratios and proportions, with a detailed solution. Suitable for Grades 5-7 students.

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