MATH SOLVE

7 months ago

Q:
# 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

Accepted Solution

A:

Answer:96 students were surveyedStep-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)