Question
The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs. 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs. 300. Represent the situation algebraically and geometrically.
Solution
Let the cost of 1 kg of apples be Rs. x and of 1 kg of grapes be Rs. y. So, algebraic representation
<>2x + y = 160
4x + 2y = 300
⇒ 2x + y = 150
Graphical representation, we have
2x + y = 160
⇒ y = 160 - 2x
We have,
2x + y = 150
⇒ y = 150 - 2x
When we plot the graph of the equation we find that two lines do not intersect i.e. they are parallel.
Fig. 3.3.
