Question

There are 8 more girls than boys in a particular class. Of the boys and girls, 40% were born in Georgia. If the number of boys that were born in Georgia is equal to the number of girls that were born in Georgia, how many students (boys and girls together) in that class were born in Georgia?

a) 20
b) 40
c) 60
d) 80

Answer 1

There are 56 students in the class who were born in Georgia.

Step-by-step explanation:

Let's say the number of boys in the class is x.

According to the given information, the number of girls in the class is x + 8.

40% of the boys and girls were born in Georgia, which means 40% of the total number of students in the class were born in Georgia.

We know that the number of boys born in Georgia is equal to the number of girls born in Georgia.

So, we can set up the following equation to find the number of students born in Georgia:

0.4(x + x + 8) = x + 8

Simplifying the equation:

0.4(2x + 8) = x + 8

0.8x + 3.2 = x + 8

0.8x - x = 8 - 3.2

0.2x = 4.8

x = 4.8 / 0.2

x = 24

The total number of students in the class is x + (x + 8) = 24 + (24 + 8) = 56.

Therefore, there are 56 students in the class who were born in Georgia.