Calculate Girls in Class: 70% of 40 Students are Boys

Question

A class comprises 40 students, 70% of whom are boys. How many girls are there in the class?

Video Solution

Solution Steps

00:00 Establish the number of girls in the class
00:05 The percentage of boys according to the given data
00:10 We want to establish the percentage of girls
00:15 Subtract the percentage of boys from the whole in order to determine the percentage of girls
00:20 This is the percentage of girls in the class
00:25 Convert from a percentage to a fraction
00:30 Use the formula to convert percentages to fractions
00:35 Apply this formula to our exercise
00:40 Multiply this fraction by the whole in order to determine the number of girls in the class
00:50 Factor 30 into factors of 3 and 10, and 40 into factors of 4 and 10
00:55 Factor 100 into factors of 10 and 10
01:05 Simplify wherever possible
01:13 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the number of boys in the class using the percentage given.
  • Step 2: Subtract the number of boys from the total number of students to determine the number of girls.

Now, let's work through each step:
Step 1: Calculate the number of boys.
The percentage of boys in the class is given as 70%. Thus, we calculate the number of boys as follows:

Number of boys=70100×40=28 \text{Number of boys} = \frac{70}{100} \times 40 = 28

Step 2: Calculate the number of girls.
Since there are 40 students in total, the number of girls can be found by subtracting the number of boys from the total number of students:

Number of girls=4028=12 \text{Number of girls} = 40 - 28 = 12

Therefore, the solution to the problem is 12 12 .

Answer

12