School A has 480 students and 16 classrooms. School B has 192 students and 12 classrooms.
How many Students would have to transfer from school Eddie to school be for the ratio of students to classrooms at both schools to be the same explain your reasoning

Respuesta :

Answer:96

Step-by-step explanation:

A; 480/16 = 30 students per classroom

B: 192/12 =16 students per classroom

we need x such that [tex]\frac{480-x}{16} = \frac{192+x}{12}[/tex]

which means

(480-x )* 12 should be equal to (192+x) * 16

5,760 - 12x = 3,072+16x

5,760 - 3,072 = 12x + 16x

2,688 = 28x

x = 96