contestada

seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who do not is 72. How many students were surveyed?

Respuesta :

so if x people were surveyed, [tex] \frac{7}{8} [/tex] people owned a bike and [tex] \frac{1}{8} [/tex]  did not.

The difference between them is 72:
[tex] \frac{7}{8} [/tex] x-\frac{1}{8} [/tex] =72
so this means that
[tex] \frac{6}{8} [/tex] x=72

let's simplify:

[tex] \frac{3}{4} [/tex] x=72

and divide by 3:

[tex] \frac{1}{4} [/tex] x=24

and mupliply by 4:

x=96

so 96 people were surveyed