Question

For some reason, in our history class, there are 14 boys than there are girls. If a total of 32 students are in the class, how many boys and how many girls are there?

Answer 1

There are 23 boys and 9 girls in the class

Explanation:

The given information is that the number of boys = 14 + The number of girls

The total number of boys and girls = 32

Let the number of girls = x

Therefore, we have;

The number of boys = 14 + x

The total number of boys and girls = 32 = The number of boys + The number of boys

The number of boys + The number of boys = 14 + x + x = 14 + 2·x

∴ The number of boys + The number of boys = 32 = 14 + 2·x

14 + 2·x = 32

2·x = 32 - 14 = 18

2·x = 18

x = 18/2 = 9

x = 9

Therefore, the number of boys is 14 + x = 14 + 9 = 23 boys

The number of boys = 23 boys

The number of girls = x = 9 girls

the number of boys = 23 boys

The number of girls = x = 9 girls

The number of girls = 9 girls

Therefore, there are 23 boys and 9 girls in the class.