Question

The cost of $3kg$ of apples and $2kg$ of grapes on a day was found to be $Rs.160$. After a month the cost of $4kg$ of apples and $2kg$ of grapes is $Rs.300$. Represent the situation as a pair of liner equation in two variables.

Answer 1

Let
cost of $1kg$ apples be $x$ and
the cost of $1kg$ grapes be $y$

On first day, $3kg$ of apples and $2kg$ of grapes was $Rs160$
So, $3x+2y=160$ ......................... (1)

After one month $4kg$ of apples and $2kg$ of grapes was $Rs300.$
So, $4x+2y=300$...........................(2)

From eq (1) and (2), the given situation can be represented by following pair of equations.

$3x+2y=160$

$4x+2y=300$