2 kg of oranges and 3 kg of apples cost rs.120. but 3 kg of oranges and 2 kg of apples cost rs.150. find the price of each per kg.
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Let oranges be = x
And apple be = y
According to first condition
2x+3y =120
According to second condition
3x+2y=150
Multiply equation 1 by by 3 we get
3x2x +3x3y = 120 x 3
6x+9y =360. (3 equation)
Multiply equation 2 by 2 we get
2x3x +2yX2 =150 x 2
6x+4y=300 (4 equation)
Subtract equation 4 from 3 we get
5y =60
Y=12
Replacing value of y in equation 1 we get
2x + 3 (12) =120
2x +36=120
2x=120-36
2x=84
X=84/2
X=41
The price of orange is 41 and price of apple is 12
And apple be = y
According to first condition
2x+3y =120
According to second condition
3x+2y=150
Multiply equation 1 by by 3 we get
3x2x +3x3y = 120 x 3
6x+9y =360. (3 equation)
Multiply equation 2 by 2 we get
2x3x +2yX2 =150 x 2
6x+4y=300 (4 equation)
Subtract equation 4 from 3 we get
5y =60
Y=12
Replacing value of y in equation 1 we get
2x + 3 (12) =120
2x +36=120
2x=120-36
2x=84
X=84/2
X=41
The price of orange is 41 and price of apple is 12
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apple per kg 75
orange per kg 40
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