Question

The cost of 2kg of apples and 1kg of grapes on a day was find to be ₹ 160.after a month ,the cost of 4kg of apples and 2kg of grapes is ₹300.Represent the situation algebrically and geometrically

Answer 1

Answer:

Step-by-step explanation:

Let the cost of 1 kg of apples be x and that of 1 kg be y

So the algebraic representation can be as follows:

2x+y=160

4x+2y=300⇒2x+y=150

The situation can be represented graphically by plotting these two equations.

2x+y=160⇒y=160−2x

x  70  60  50  40

y=160−2x  20  40  60  80

2x+y=150⇒y=150−2x

x  65  55  45  35

y=150−2x  20  40  60  80

We can see that the lines do not intersect anywhere, i.e. they are parallel. Hence we can not arrive at a solution.