Mathematics: Seven out of every eight students surveyed owns a bike the difference between the numbers of students who own a bike and those who do not is 72 how many students were surveyed

Seven out of every eight students surveyed owns

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11.01.2022

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

$\frac{7}{8}x$ surveyed students own a bike

$\frac{1}{8}x$ surveyed students do not own a bike

The difference between both quantities is

$\frac{7}{8}x-\frac{1}{8}x=\frac{6}{8}x=\frac{3}{4}x$

We know that number is 72

$\frac{3}{4}x=72$

x=96

96 students were surveyed (84 of them own a bike, 12 don't)

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