Question

cost of 4 pens 6 notebooks and 9 files is 305 rupees, the cost of 3 pens 4 notebooks and two files is 145 rupees find the cost of 5 pens 8 notebooks and 16 files​

Answer 1

Answer:

Required cost of 5 pens, 8 notebooks and 16 files is Rs 465.

Step-by-step explanation:

Let,

Cost of one pen be P

Cost of one notebook be N

Cost of one file be F

According to the question :

= > Cost of 4 pens, 6 notebooks and 9 files = Rs 305

= > ( 4 x cost of one pen ) + ( 6 x cost of one notebook ) + ( 9 x cost of one file ) = Rs 305

= > ( 4 x P ) + ( 6 x N ) + ( 9 x F ) = Rs 305

= > 4P + 6N + 9F = Rs 305 ...( 1 )

Also given,

= > Cost of 3 pens, 4 notebooks and 2 files = Rs 145

= > ( 3 x cost of one pen ) + ( 4 x cost of one notebook ) + ( 2 x cost of one file ) = Rs 145

= > ( 3 x P ) + ( 4 x N ) + ( 2 x F ) = Rs 145

= > 3P + 4N + 2F = Rs 145 ...( 2 )

Here,

We have find the value of :

= > Cost of 5 pens, 8 notebooks and 16 files

= > ( 5 x cost of one pen ) + ( 8 x cost of one notebook ) + ( 16 x cost of one file )

= > ( 5 x P ) + ( 8 x N ) + ( 16 x F )

= > 5P + 8N + 16F

= > ( 8P - 3P ) + ( 12N - 4N ) + ( 18F - 2F )

= > 8P - 3P + 12N - 4N + 18F - 2F

= > 8P + 12N + 18F - 3P - 4N - 2F

= > 2( 4P + 6N + 9F ) - ( 3P + 4N + 2F )

Substituting the numeric values of 4P + 6N + 9F and 3P + 4N + 2F from ( 1 ) and ( 2 ) :

= > 2( Rs 305 ) - ( Rs 145 )

= > Rs 610 - Rs 145

= > Rs 465

Hence the required cost of 5 pens, 8 notebooks and 16 files is Rs 465.

Answer 2

Answer:

cost of 4 pens 6 notebooks and 9 files is 305 rupees, the cost of 3 pens 4 notebooks and two files is 145 rupees find the cost of 5 pens 8 notebooks and 16 files

Step-by-step explanation:

here us your answer mate may it will be helpful for u