I need help with a Matrix Algebra problem
Favorites|Homepage
Subscriptions | sitemap
HOME > > I need help with a Matrix Algebra problem

I need help with a Matrix Algebra problem

[From: ] [author: ] [Date: 11-12-13] [Hit: ]
one-fifth of the students in room B move to room C, and one-third of the students in room C move to room A. Nevertheless, the total number of students in each room is the same for both periods. How many students occupy each room?Thanks!......
I do not understand this problem whatsoever. Please help me with this, or at least with setting it up.

A small school has 100 students who occupy three classrooms A, B, and C. After the first period of the school day, half the students in room A move to room B, one-fifth of the students in room B move to room C, and one-third of the students in room C move to room A. Nevertheless, the total number of students in each room is the same for both periods. How many students occupy each room?

Thanks!!

-
the key is in the sentence with fractions. since the final number of each room remains same, for eg, 1/2 of A moves out, 1/3 of C moves in. This means that (1/2)A = (1/3)C , (1/5)B = (1/2)A , (1/3)C = (1/5)B

Use that as reference and substitutes for the equation A + B + C =100 ----eq 1

To find A, sub. B = (5/2)A and C = (3/2)A into eq 1
To find B, sub. A = (2/5)B and C = (3/5)B into eq 1
To find C, sub. C = (2/3)C and B = (5/3)C into eq 1


A=20, B=50 , C=30

Sorry, updated.
No worries..:D
1
keywords: problem,help,need,with,Algebra,Matrix,I need help with a Matrix Algebra problem
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .