b − b oys g − g i r l s g b = 3 2 → b = 3 2 g b + g = 120 → 3 2 g + g = 120 3 2 g + 3 3 g = 120 3 5 g = 120 / ⋅ 5 3 g = 72 b = 3 2 ⋅ 72 = 2 ⋅ 24 = 48 A n s w er : 48 b oys an d 72 g i r l s .
There are 72 girls and 48 boys in the fifth grade at Miller School based on the given ratio. The ratio of boys to girls is 2 to 3, and there are a total of 120 students. By using algebraic equations, we determined the exact numbers of each gender.
;