Question

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The cost of 4 kg onion, 3kg wheat and 2 kg rice is rupees 60 . the cost of 2 kg onions, 4 kg wheat and Kg rice is rupees 90 . the cost of 6 kg onion, 2 kg wheat and 3kg rice is rupees 70 . find the cost of each item per kg by Matrix method​

Answer 1

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⠀

Let the cost of onion, wheat & rice per

kg be x, y, z respectively.

⠀

⠀

Given,

Cost of 4 kg onion, 3 kg wheat & 2 kg rice is Rs 60.

4x + 3y + 2z = 60

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Cost of 2 kg onion, 4 kg wheat & 6 kg rice is Rs 90.

2x + 4y + 6z = 90

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Cost of 6 kg onion, 2 kg wheat & 3 kg Rice is Rs 70

6x + 2y + 3z = 70