Question

the cost of 4 kg of potato 3 kg of wheat and 2 kg of ricelis 150 the cost of 1 kg of potato 2 kg of wheat and 3 kg of price is £1.25 the cost of 6 kg of potato 2 kg of wheat and 3 kg of rice is 175 find the cost of each item per kg by using cramer's rule

Answer 1

Let the cost of 1kg onion be=x.Let the cost of 1kg wheat be=y.Let the cost of 1kg rice be=z.Now we can frame equations according to the given information as4x+3y+2z=60------(1)2x+4y+6z=90-----(2)6x+2y+3z=70-------(3)This is of the form AX=B,then X=A−1B.X=A−1B.⎡⎣⎢426342263⎤⎦⎥⎡⎣⎢xyz⎤⎦⎥=⎡⎣⎢609070⎤⎦⎥[432246623][xyz]=[609070]Where A=⎡⎣⎢426342263⎤⎦⎥X=⎡⎣⎢xyz⎤⎦⎥B=⎡⎣⎢609070⎤⎦⎥