Question

Last year at James Middle School, 3/5 of the students rode the bus to school. Of those students, 2/3 of them ride the bus home. If there were a total of 500 students, how many ride the bus to and from school?

Answer 1

200 students ride the bus to and from school

Explanation:

Let

x ----> the total of students

y ----> the number of students that rode the bus to school

z ----> the number of students that rode the bus to home

we know that

`x=500\ students`

3/5 of the students rode the bus to school

so

`y=(3)/(5)x`

substitute the value of x

`y=(3)/(5)500=300\ students`

Of those students, 2/3 of them ride the bus home

so

`z=(2)/(3)y`

substitute the value of y

`z=(2)/(3)300=200`

therefore

200 students ride the bus to and from school