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Pair of Linear Equations in Two Variables
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26/05/2021 11:41 am
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The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs.160. 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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26/05/2021 11:47 am
Let the cost of 1 kg of apples be ‘Rs. x’
And, cost of 1 kg of grapes be ‘Rs. y’
According to the question, the algebraic representation is
2x + y = 160
And 4x + 2y = 300
For, 2x + y = 160 or y = 160−2x, the solution table is
x → 50, 60, 70
y → 60, 40, 20
For 4x + 2y = 300 or y = (300-4x)/2, the solution table is
x → 70, 80, 75
y → 10, -10, 0
The graphical representation is as follows