Question

Seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who do not is 72. How many students were surveyed? A total of students were surveyed

Answer 1

Number of student (not Bike) = 12

Number of student (Bike) = 84

Total student = 96

Explanation:

Given:

Probability of student have bike = 7/8

Computation:

Assume;

Number of student (Bike) = a

Number of student (not Bike) = b

So,

a-b = 72

So,

a / (a+b) = 7/8

8a = 7a + 7b

a = 7b

So,

a-b = 72

7b - b = 72

6b = 72

b = 12

Number of student (not Bike) = 12

Number of student (Bike)

a -12 = 72

a = 84

Number of student (Bike) = 84

Total student = 84 + 12

Total student = 96