Question

The cost of 4kg onion, 3 kg wheat and 2 kg rice is Rs. 60. The cost of 2kg onion, 4 kg wheat and 6 kg rice is Rs. 90. The cost of 6 kg onion, 2 kg wheat and 3 kg rice is Rs. 70. Find cost of each item per kg by matrix method

Answer 1

To find the cost of each item per kg using matrix method, set up a system of equations and solve for the unknown variables.

Step-by-step explanation:

To find the cost of each item per kg using matrix method, we can set up a system of equations.

Let x be the cost of 1 kg onion, y be the cost of 1 kg wheat, and z be the cost of 1 kg rice.

From the given information, we can set up the following system of equations:
4x + 3y + 2z = 60
2x + 4y + 6z = 90
6x + 2y + 3z = 70

We can represent this system of equations in matrix form and use matrix operations to solve for x, y, and z.

After solving the matrix equation, we find that the cost of 1 kg onion is Rs. 10, the cost of 1 kg wheat is Rs. 5, and the cost of 1 kg rice is Rs. 2.50.