Question

A multinational company placed orders for printing papers and writing pads. In the first order 5 carton of printing papers and 10 writing pads were ordered and total cost was Rs. 3000 and in the second order 10 carton of printing papers and 5 writing pads were ordered and total cost was Rs. 5250. What was the cost of one carton of printing paper and one writing pad?

Answer 1

Given:

In the first order,

5 carton of printing papers and 10 writing pads were ordered and total cost was Rs. 3000 .

In the second order,

10 carton of printing papers and 5 writing pads were ordered and total cost was Rs. 5250.

To Find:

The cost of one carton of printing paper and one writing pad.

Solution:

Let x be the cost of one carton of printing paper.

Let y be the cost of one writing pad.

Each order can be mathematically formulated as:

First Order:

• 5x + 10y = 3000
• x + 2y = 600 - (1)

Second Order:

• 10x + 5y = 5250
• 2x + y = 1050 - (2)

Now lets solve this system of linear equation:

• (1) x 2 - (2) = >
• 2x + 4y - (2x + y ) = 1200 - 1050
• 3y = 150
• y = Rs . 50
• x = 600 - 2y = 600 - 100 = Rs. 500

The cost of one carton of printing paper = Rs. 500 and

the cost of one writing pad = Rs. 50.