Question

- The cost price of 3 exam pads and 2 pencils is Rs. 96, 4 exam pads and 3 pencils cost Rs.

134. Find the total cost (in Rs.) of an exam pad and that of a pencil.​

Answer 1

Step-by-step explanation:

pads $20

pencil $18

pad 3x20 =60

pencil 2x18 =36 total = $96

4×20=80

3×18=54

Answer 2

Answer:

The cost of the pencil is Rs.18 and the cost of the exam pad is Rs.20.

Step-by-step explanation:

Given : The cost price of 3 exam pads and 2 pencils is Rs. 96, 4 exam pads and 3 pencils cost Rs. 134.

To find : The total cost (in Rs.) of an exam pad and that of a pencil.?

Solution :

Let x be the cost of the pencil and y be the cost of the pad.

The cost price of 3 exam pads and 2 pencils is Rs. 96.

So, $2x+3y=96$ ........(1)

The cost price of 4 exam pads and 3 pencils cost Rs. 134.

So, $3x+4y=134$ ........(2)

Solving equation (1) and (2),

Multiply equation (1) by 3 and multiply equation (2) by 2 and subtract them,

Equation form,  $6x+9y=288$ and  $6x+8y=268$

Subtracting, $6x+9y-6x-8y=288-268$

$y=20$

Substitute in (1),

$2x+3(20)=96$

$2x+60=96$

$2x=36$

$x=18$

Therefore, The cost of the pencil is Rs.18 and the cost of the exam pad is Rs.20.