Question

The cost of 2pencils and3eraser is rs 9and the cost of 2pencils and 6eraser is rs 12find the cost of each pencil and each eraser

Answer 1

Answer: cost of one eraser is 1 Rs and cost of one pencil is 3rs

Step-by-step explanation:

Let the cost of one pencil be x and cost of one eraser be y

Then,

2x+3y=9

2x+6y=12

Subtract equation 1 and 2

-3y=-3

3y=3

y=1

Substitute value of y in equation 1

2x+3y=9

2x+3=9

2x=9-3

2x=6

x=3

Answer 2

Answer:

Rs. 3 & Rs. 1

Step-by-step explanation:

Steps:

Given,

Let the cost of pencil be x, eraser be y.

From 1st statement,

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

From 2nd statement,

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

From Eq 1, x=9-3y/2

Substituting the value of x in Eq 2,

2x+6y=12

2(9-3y/2)+6y=12

1(9-3y)+6y=12

9-3y+6y=12

3y=12-9

3y=3

y=1

Substituting above value in (2)

2x+6y=12

2x+6(1)=12

2x+6=12

2x=12-6

2x=6

x=6/2

x=3.

Therefore, each pencil costs Rs.3 and each eraser costs Rs.1

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