Question

the cost of2kg of apples and 1kg of grapes on day was found to be Rs.160.After a month, to the cost of 4kg of apples and 2kg of grapes is Rs 300. Represent the situation algebraically and geometrically.​

Answer 1

Step-by-step explanation:

 x 65 55 45 35y 20 40 60 80Let 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 802x+y=150⇒y=150−2x

 x 65 55 45 35 y=150−2x 20 40 60 80We can see that the lines do not intersect anywhere, i.e. they are parallel

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