Answer :
The total number of students were surveyed is 96 students
Step-by-step explanation:
The given is,
Seven out of every 8 students owns a bicycle
The difference between the number of students who own a bike and those who do not is 72.
Step: 1
Let, T - Total number of students were surveyed
X - Students who own a bike
Y - Students who do not bike
Step:2
From the given,
Ratio of Students own a bike is = [tex]\frac{7}{8}[/tex]
Ratio of students who do not own a bike is = [tex]\frac{1}{8}[/tex]
Step:3
X = Ratio of students who own bike × Total number of students
= [tex]\frac{7}{8}[/tex] × T
Y = Ratio of students who do not own bike × Total number of students
= [tex]\frac{1}{8}[/tex] × T
Step:4
From given, (∵ Difference is 72)
X-Y = 72
( [tex]\frac{7}{8}[/tex] × T) - ( [tex]\frac{1}{8}[/tex] × T) = 72
0.875T - 0,125T = 72
0.75T = 72
T = 96 students.
Step:5
X = [tex]\frac{7}{8}[/tex] × T = [tex]\frac{7}{8}[/tex] × 96 = 84
Y = [tex]\frac{1}{8}[/tex] × T = [tex]\frac{1}{8}[/tex] ×96 = 12
Result:
The total number of students were surveyed is 96 students and 84 students have a own bike and 12 students do not have a own bike.