Question

Gareth 30 students in a class and the ratio of boys to girls in the class is 2:3 calculate the number of goals

Answer 1

There are 12 boys and 18 girls

Explanation:

Equations

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

`\displaystyle (x)/(30-x)=(2)/(3)`

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls