SOLUTION: A school community had planned to reduce the number of grade 9 students per class room by constructing additional calss rooms. However, they constructed 4 less rooms than they plan

Question 550159: A school community had planned to reduce the number of grade 9 students per class room by constructing additional calss rooms. However, 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.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A school community had planned to reduce the number of grade 9 students per class room by constructing additional calss rooms. However, 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)
================
Cheers,
Stan H.
==================
RELATED QUESTIONS
1)The senior classes at High School A and High School B planned separate trips to the... (answered by Boreal)

The senior classes at High School A and High School B planned separate trips to New York... (answered by jorel1380)

19. This year the senior class at West High School and the senior class at South High... (answered by Targetweek)

A human factors expert recommends that there be at least 9 square feet of floor space in... (answered by Theo)

In a class of 120 students, 94 received a grade of A. What fraction of the class did not (answered by JulietG)

In a class of 105 students, 25 received a grade of A. What fraction of the class did not... (answered by fractalier)

In a class of 60 students, 59 received a grade of A. What fraction of the class did not... (answered by stanbon)

In a class of 100 students , 11 received a grade of A. What fraction of the class did not (answered by Edwin McCravy)

In a class of 75 students, 15 recieved a grade of an 'A'. What fraction of the class did... (answered by AAfter Search,mananth)