Question

A random sample of 35 students found that 5 out of 7 students ride the bus to school. At this rate, how many students would ride the bus to school if 385 students were in attendance?

Answer 1

Given the ratio of 5 out of 7 students currently riding the bus, if 385 students were in attendance, 275 would ride the bus to school at the same ratio.

Step-by-step explanation:

The student asked how many students would ride the bus to school if there were 385 students in attendance, given that 5 out of 7 students currently ride the bus. To find this, we can use a proportion where 5/7 of the students ride the bus. We set up a proportion with x being the unknown number of bus riders out of 385 students:

(5/7) = (x/385)

To solve for x, we multiply both sides of the equation by 385:

x = (5/7) * 385

Solving for x gives us:

x = 5 * 55

x = 275

So if there were 385 students in attendance, 275 would ride the bus to school at the same rate.