Question:
The cost of 2kg 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 2kg of grapes is Rs. 300 Represent th situation algebraically and geometrically.
Solution:
Let the cost of 1 kg of apples be Rs x.
And, cost of 1 kg of grapes = Rs y
According to the question, the algebraic representation is
$2 x+y=160$
$4 x+2 y=300$
For $2 x+y=160$,
$y=160-2 x$
The solution table is
For $4 x+2 y=300$
$y=\frac{300-4 x}{2}$
The solution table is
The graphical representation is as follows.