Question

8kg of poratoes and 5kg of carrots cost $28 whereas 2kg of potatoes and 3kg of carrots cost $11.20. What is the cost of 1 kg of each item?​

Answer 1

Cost of 1 kg of Carrots = $ 2.40

Explanation -

Let the cost of 1 kg of Potatoes = x

Let the cost of 1 kg of Carrots = y

ATQ , 8x + 5y = 28 - 1)

2x + 3y = 11.20 - 2)

Multiplying 2) by 4

8x + 12y = 44.80 - 3)

Applying Elimination method in 1) and 3)

8x + 5y = 28.00

8x + 12y = 44.80

- - -

---------------------------

0 + -7y = - 16.80

y = 16.8/7

y = 2.4

Putting the value of "y" in 1)

8x + 5(2.4) = 28

8x + 12 = 28

8x = 16

x = 16/8

x = 2