Answer:
96 students were surveyed
Step-by-step explanation:
Proportions
Variables are proportional if one of them can be obtained as the other by a constant number.
Let's suppose a number of x students were surveyed. Seven out of every eight students own a bike. It means that
[tex]\frac{7}{8}x[/tex] surveyed students own a bike
[tex]\frac{1}{8}x[/tex] surveyed students do not own a bike
The difference between both quantities is
[tex]\frac{7}{8}x-\frac{1}{8}x=\frac{6}{8}x=\frac{3}{4}x[/tex]
We know that number is 72
[tex]\frac{3}{4}x=72[/tex]
[tex]x=96[/tex]
Answer: 96 students were surveyed (84 of them own a bike, 12 don't)
