Question

The cost of 2kg apples and 1 kg of grapes on a day was found to be 160 after a month the cost of 4kg of apples and 2 kg of grapes is 300 represent it algebrically and graphically

Answer 1

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

Then the algebraic representation

2x + y = 160 .................... (Eqn 1)

4x + 2y = 300 ........................(Eqn 2)

Answer 2

Let cost of 1 kg of apples = Rs x

Let cost of 1 kg of grapes= Rs y

 

According to given conditions, we have

 

2x+y=160              (1)

 

4x+2y=300     

 

⇒2x+y=150      (2)

 

 

So, we have equations (1) and (2)

 

2x+y=160  and 2x+y=150 which represent given situation algebraically.

 

 

To represent them graphically, we will find 3 sets of points which lie on the lines.

 



 

We plot the points for both of the equations and it is the graphical representation of the given situation.

 

2x+y=160 and 2x+y=150