2 pens 3 notebooks together cost rs 66 where as 3 pens 2 notebooks together cost rs 54 what is the total cost of 5pens 2 note books

Answer :

Answer:

₹66

Step-by-step explanation:

let the cost of 1 pen be ₹x and 1 notebook ₹y

2x+3y=66------(i)

3x+2y=54------(ii)

multiplying (i) by 3 and (ii) by 2,we get

6x+9y=198-----(iii)

6x+4y=108-----(iv)

(iii)-(iv), we get

6x+9y-6x-4y=198-108

=>5y=90

=>y=90/5

therefore, y=18

from (i)

2x+3y=66

2x=66-3y

x=66-3y/2

therefore x=66-54/2

x=12/2=6

since,

1 pen costs=₹6 and 1 notebook costs=₹18

therefore,

5 pen costs=₹30 and 2 notebook costs=₹36

therefore,

total cost=₹66

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Answer:

let the cost of pen=x

and the cost of notebook=y

according to the question:

2x+3y=66------------1 equation

3x+2y=54------------2 equation

4x+6y=132(after multiply by 2)

9x+6y=162(after multiply by 3)

= -5x=-30

x=6

put the value of x in equation 2

3x+2y=54

3×6+2y=54

18+2y=54

2y=54-18

y=36/2

y=18

the cost of 5pens=5x=5×6=30

the cost of 2pens=2y=2×18=36

total cost=30+36=66

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