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

Let the cost of 1kgp of potatoes be X
Let the cost of 1kg of carrots be Y
cost of 8kg of potatoes and 5kg of carrots =$28
Cost of 2kg of potatoes and 3kg of carrots =$11.20

8X+5Y=$28 ------------(1)
2X+3Y=$11.20----------(2)

(1)*2
(2)*8

16X+10Y=$56
( -- ) 16X+24Y=89.6
-----------------------------------------------
--14Y= --33.6
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Y= 33.6/14
Y=$2.4
Substitude Y value in ---------(1)
8X+5(2.4)=28
8X+12 =28
8X=28-12
8X=16
X=2

Cost of 1kg of potatoes =$2
Cost of 1kg of carrots =$2.4