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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?

Respuesta :

calculista

Answer:

200 students ride the bus to and from school

Step-by-step 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

[tex]x=500\ students[/tex]

3/5 of the students rode the bus to school

so

[tex]y=\frac{3}{5}x[/tex]

substitute the value of x

[tex]y=\frac{3}{5}500=300\ students[/tex]

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

so

[tex]z=\frac{2}{3}y[/tex]

substitute the value of y

[tex]z=\frac{2}{3}300=200[/tex]

therefore

200 students ride the bus to and from school

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