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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?

Verified Answer :

so if x people were surveyed, \(\frac{7}{8}\) people owned a bike and \(\frac{1}{8}\)  did not.

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

let's simplify:

\(\frac{3}{4}\) x=72

and divide by 3:

\(\frac{1}{4}\) x=24

and mupliply by 4:

x=96

so 96 people were surveyed