After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.
 

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Let cost of 1 kg of apples = Rs x and 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.

For equation 2x + y = 160, we have following points which lie on the line

variable

x 80 40 0
y 0 80 160

variable

x 0 50 100
y 150 50 -50

 

Algebraic representation :
2x+y = 160 ………………(i)
4x+2y= 300……………..(ii)
Graphical representation :

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

variable

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