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After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.
Question
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
x | 80 | 40 | 0 |
y | 0 | 80 | 160 |
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.
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