the number of boys in the freshman class is 10 more than the number of girls. the total number of people in the class is 152. how many boys and how many girls are in the class?

Answer 1

B (boys) = G (girls) + 10 --> equation 1

B + G = 152 --> equation 2

substitute for B in equation 2

(G+10) + G = 152

2G +10 = 152

2G = 152 - 10 = 142

G = 142/2 = 71

B = 71 + 10 = 81