Question

The cost of 2 pencils and 3 erasers is ` 9 and the cost of 2 pencils and 6 erasers is ` 12. Find the cost of each pencil and each eraser.

Answer 1

Answer:

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Answer 2

Answer:

cost of each pencil=x = 3

cost of each eraser=y = 1

Step-by-step explanation:

let cost of 1 pencil =x

then cost of 2 pencils =2x

let cost of 1 eraser =y

then cost of 3 erasers = 3y

cost of 2 pencils and 3 erasers = 9

2x+3y=9

....................(1)

similarly ,

cost of 2 pencils and 6 erasers =12

2x+6y=12

...........................(2)

on solving (1) and (2)

(1).........2x+3y=9

(2).........2x+6y=12

(-) (-) (-)

__________

-3y= -3

y= -3/-3

= 1

substitute y value in (1)

2x+3y=9

2x+3(1)=9

2x+3=9

2x=9-3

2x=6

x=6/2

x=3

cost of each pencil=x = 3

cost of each eraser=y = 1

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