Question

Mr. Edwards has a total of 28 kids in his class. There are 6 more boys than there are girls. Write a system

of equations to model this and find the number of boys and the number of girls in the class.​

Answer 1

17 boys and 11 girls

Explanation:

Create a system of equations where b is the number of boys and g is the number of girls:

b + g = 28

b = g + 6

Solve by substitution, by substituting the second equation into the first one:

b + g = 28

(g + 6) + g = 28

2g + 6 = 28

2g = 22

g = 11

So, there are 11 girls.

Since there are 6 more boys than girls, there are 17 boys.

So, there are 17 boys and 11 girls in the class.