Answer:
96 students were surveyed
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
surveyed students own a bike
surveyed students do not own a bike
The difference between both quantities is
![(7)/(8)x-(1)/(8)x=(6)/(8)x=(3)/(4)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dfhamoxe6l2coif0lxcqj10losf8j1802f.png)
We know that number is 72
![(3)/(4)x=72](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bftlj5o0rr0hop5z39kcr39pu16z08mk6y.png)
![x=96](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gpdbkf9pnpwjhhxwafrxorkqg79hke7xro.png)
Answer: 96 students were surveyed (84 of them own a bike, 12 don't)