Question

A class has 12 boys and 18 girls. the class as a whole has a gpa (grade point average) of 2.88, and the boys have a gpa of 2.52. what is the gpa of the girls?

Answer 1

3.12 First, write an equation to express what you know. g = number of girls b = number of boys b * 2.52 + g * x = 2.88(b+g) Solve for x, first substitute known values for g and b 12 * 2.52 + 18 * x = 2.88(12+18) Add and multiply what you already know 30.24 + 18x = 86.4 Subtract 30.24 from both sides 18x = 56.16 Divide both sides by 18 x = 3.12 Therefore the GPA of the girls is 3.12