1 mango and 2 oranges are 22 rupees. If 2 mangoes and 3 oranges cost 36 rupees, what is the price of a mango?
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Let the cost of 1 mango be Rs.x and the cost of 1 orange be Rs.y
A.T.Q.,
x+2y=22-(i) and 2x+3y=36-(ii)
Multiplying equation (i) by 2
2x+4y=44 -(iii) and 2x+3y=36
Eliminating equations (i) and (ii)
2x+4y=44
2x+3y=36
- - -
y=8
putting the value of y in equation (i)
x+2(8)=22
x+16=22
x=22-16
x=6
Hence, the cost of 1 mango is Rs.6
Hope it helps you!
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