Question

The cost of 3 kg of apples and 2 kg of grapes on a day was found to be ₹160.After a month the cost of 4 kgs of apples and 2 kg of grapes is ₹300. Represent the situation as a pair of linear equations in two variables.

Answer 1

Let the cost of apples per kg be Rs x
Let the cost of grapes per kg be y

2 kg apples and 1 kg grapes cost rs 160

2 × cost per kg of apples+1× cost per kg of graped

2x + y = 160
2x + y - 160 = 0

Also 4 kg apples and 2 kg grapes cost rs 300

4 × cost per kg of apples +2 × cost per kg of grapes = 300

4x + 2y = 300
4x + 2y - 300 = 0
2(2x + y - 150 ) = 0
(2x + y - 150 ) = 0/2 = 0

Answer 2

let x be the no of apples and y be the number of grapes.then;
Given that;3x+2y=160
the next one after a month;4x+2y=300