Question

Studies show that 36% of all students enjoy taking morning classes. If 87 students like morning classes, how many total students were surveyed?

Answer 1

Given:

36% of all students enjoy taking morning classes.

The number of students who like morning classes is 87 students.

Required:

We need to find the total number of students.

Explanation:

Let x be the total number of students.

$36\text{ \% of x =87}$$\frac{36}{100}\times x=87$

Multiply both sides of the equation by 100/36.

$\frac{36}{100}\times x\times\frac{100}{36}=87\times\frac{100}{36}$$x=87\times\frac{100}{36}$$x=241.67$$x\approx242$

Final answer:

242 students were surveyed.