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CBSE Class 12-science Answered

To raise money for an orphanage, students of three schools A, B, C organised an exhibition in their locatlity,where they sold paper bags, scrap-books and pastel sheets made by them using recycled paper, at rate of Rs. 20,Rs.15 and Rs.5 per unit respectively.School A sold 25 paper-bags,12 scrap-books and 34 pastel sheets while. School B sold 22 paper-bags,15 scrap-books and 28 pastel sheets while School C sold 26 paper-bags,18 scrap-books and 36 pastel sheets. Using matrices, find the total amount raised by each school.
Asked by gsonu953 | 01 Feb, 2015, 11:52: AM
answered-by-expert Expert Answer
U n i t space cos t space o f space p a p e r space b a g s comma space s c r a p space b o o k s space a n d space p a s t e l space s h e e t s space a r e space r e s p e c t i v e l y space R s.20 comma space R s.15 space a n d space R s.5. open square brackets table row 20 15 5 end table close square brackets T h u s comma space t h e space u n i t space cos t space o f space d i f f e r e n t space k i n d space o f space r e c y c l e d space p r o d u c t s space i s space a space r o w space m a t r i x space o f space o r d e r space 1 cross times 3 S c h o o l space A space s o l d comma space 25 space p a p e r space b a g s comma space 12 space s c r a p space b o o k s space a n d space 34 space p a s t e l space s h e e t s. S c h o o l space B space s o l d comma space 22 space p a p e r space b a g s comma space 15 space s c r a p space b o o k s space a n d space 28 space p a s t e l space s h e e t s. S c h o o l space C space s o l d comma space 26 space p a p e r space b a g s comma space 18 space s c r a p space b o o k s space a n d space 36 space p a s t e l space s h e e t s. A r r a n g i n g space t h e space s a l e space o f space e a c h space s c h o o l space i n space a space c o l u m n space o f space a space s q u a r e space m a t r i x comma space w e space h a v e comma open square brackets table row 25 22 26 row 12 15 18 row 34 28 36 end table close square brackets T h u s space t h e space a m o u n t space r a s i e d space b y space e a c h space s c h o o l space i s space t h e space p r o d u c t space o f space t h e space u n i t space cos t space m a t r i x space a n d space t h e space s a l e space m a t r i x. T h e space o r d e r space o f space t h e space u n i t space cos t space m a t r i x space i s space 1 cross times 3 space a n d space t h e space o r d e r space o f space t h e space s a l e space m a t r i x space i s space 3 cross times 3. S i n c e space t h e space n u m b e r space o f space c o l u m n s space o f space u n i t space cos t space m a t r i x space i s space s a m e space a s space t h e space n u m b e r space o f space r o w s space o f space t h e space s a l e space m a t r i x t h e space p r o d u c t space e x i s t s space a n d space t h e space o r d e r space o f space t h e space cos t space p e r space s c h o o l space m a t r i x space i s space 1 cross times 3. open square brackets table row 20 15 5 end table close square brackets open square brackets table row 25 22 26 row 12 15 18 row 34 28 36 end table close square brackets equals open square brackets table row cell 20 cross times 15 plus 15 cross times 12 plus 5 cross times 34 end cell cell 20 cross times 22 plus 15 cross times 15 plus 5 cross times 28 end cell cell 20 cross times 26 plus 15 cross times 18 plus 5 cross times 36 end cell end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets table row 650 805 970 end table close square brackets T h u s space t h e space t o t a l space cos t equals R s.650 plus R s.805 plus R s.970 equals R s.2425
Answered by Vimala Ramamurthy | 02 Feb, 2015, 09:19: AM

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