Question

There are 12 students in a class who are performing at the school concert. This represents 40% of the class. How
many students are in the class?

Answer 1

There are 30 students in the class.

• Let the total number of students be T.

Given the following data;

• Number of students performing at the school concert = 12 students

• Percentage of performing student = 40%

To find how many students are in the class i.e the total number of students;

We would write a mathematical expression as follows;

$\frac{40}{100}$ × $T = 12$

Simplifying, we have;

$0.4$ × $T = 12$

Next, we would divide both sides by 0.4;

$T = \frac{12}{0.4}$

T = 30 students

Therefore, there are 30 students in the class.

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Answer 2

There are 30 students in the class.

Given that there are 12 students in a class who are performing at the school concert, and this represents 40% of the class, to determine how many students are in the class the following cross multiplication calculation must be performed:

• 40 = 12
• 100 = X
• 100 x 12/40 = X
• 1,200 / 40 = X
• 30 = X

Therefore, in total there are 30 students in the class.

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