a school community had planned to reduced the number of grade 9 students per class room by constructing additional class rooms. how ever ,they constructed 4 less rooms than they planned.as the result the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school,determine the current number of class rooms and the number of students per class
Let "c" be the original number of classrooms. — The 1200/c was the original number of students per classroom. ---- Equation: 1200/(c-4) = (1200/c)+10 Multiply thru by c(c-4) --- 1200c = 1200(c-4)+10c(c-4) --- 1200c = 1200c-4800 + 10c^2-40c ---- 10c^2-40c-4800 = 0 c^2-4c-480 = 0 Factor: (c-24)(c+20) = 0 --- Positive solution: c = 24 (# of classrooms originaly planned)
