The cost of 3 Kg of apples and 2 Kg of grapes on a day was found to be Rs. 510. After a month, the cost of 4 Kg of apples and 1 Kg of grapes is Rs. 680. Represent the situation algebraically.
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ns in two variables.
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Let rate of apples =x Rs/kg
Let rate of grapes =y Rs/kg
Now according to question
3x+2y=160
4x+2y=300
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Let,
the Cost of Apples per kg = Rs x.
& the Cost of grapes per kg = Rs y.
Given,
2 kg apples and 1 kg grapes cost Rs 160.
2 x Cost per kg of apples + 1 x Cost per kg of grapes = 160
2x + y = 160 ...(1)
Also,
4 kg apples and 2 kg grapes cost Rs 300
4 x Cost per kg of apples + 2 x Cost per kg of grapes = 300
4x + 2y = 300
2(2x + y) = 2 x 150
2x + y = 150... (2)
Now, plotting equations
2x + y = 160...(1)
2x + y = 150...(2)
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