Question

Q.1 The cost of 4 kg potato, 3 kg wheat, and 2 kg rice is Rs. 60. The cost of 1
kg potato, 2 kg wheat, and 3 kg rice is Rs. 45. The cost of 6 kg potato, 2 kg
wheat, and 3 kg rice is Rs. 70. Find the per kg cost of each item by matrix
method.​

Answer 1

Answer:

potato: rs.5/kg

rice: rs.11/kg

wheat: rs.6/kg

Step-by-step explanation:

=x

=y

=z

4x+3y+2z=60....1

x+2y+3z=45......2

6x+2y+3z=70....3

subtracting 2 from 3 we get:

6x-x=70-45

5x=25

x=5(potato)

putting the value of X in 1 &2 and subtracting 1 from 2 we get:

z-y=5

z=5+y

now putting the value of x & z in equation 1 we get:

20+3y+10+2y=60

5y=30

y=6(wheat)

z=5+y=5+6=11(rice)