The cost of 2 kg of apples and 1kg of grapes on a day was found to be ` 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is ` 300. Represent the situation algebraically and geometrically.
Let the cost of one kg apple be x ₨ and 1 kg grapes be y ₨.
According to first condition,
2x + y = 160 ₨ …………..(1)
According to second condition,
4x + 2y = 300
2x + y = 150 ……………….(2)
Graphical Representation
Table for equation (1), 2x + y = 160
Table value of x and y
x: |
40 |
60 |
80 |
y: |
60 |
40 |
0 |
Table for equation (2), 2x + y = 150
Table value of x and y
x: |
40 |
60 |
20 |
y: |
70 |
30 |
110 |
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