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# 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.

Ans.Let the cost of 1 kg of apples and 1 kg of grapes be Rs.x and Rs.y respectively.

According to the given statement in the question:

=>$$2x + y = 160$$............(i)

Two solutions of the equation (i) are :

$$\begin{array} {|r|r|}\hline 50 & 45 \\ \hline 60 & 70 \\ \hline \end{array}$$

And also according to the given statement in the question:

=>$$4x + 2y = 300$$
=>$$2x + y = 150$$............(ii)

Two solutions of the equation (i) are :

$$\begin{array} {|r|r|}\hline 50 & 40 \\ \hline 50 & 70 \\ \hline \end{array}$$

Now the graph for the above equations (i) and (ii) will be: