Question
The cost of 3 apples and 2 bananas is Rs.46, and the
cost of 5 apples and 4 bananas is Rs.82. What is the total price (in Rs) of 2 apples and 3 bananas?Solution
Let the price of one apple be x, and the price of one banana be y. 3x+2y=46 Â Â Â Â Â Â (Equation 1) 5x+4y=82 Â Â Â Â Â Â (Equation 2) Â Eliminate one variable Multiply Equation (1) by 2 Â 6x+4y=92 Â Â Â Â Â Â (Equation 3) Now subtract Equation (2) from Equation (3)- Â (6x+4y) -(5x+4y) = 92-82 x = 10 Substitute x = 10 back into Equation (1) 3(10) + 2y = 46 Â 30 + 2y = 46 2y = 16 y = 8 Calculate the price of 2 apples and 3 bananas =2x + 3y = 2(10) + 3(8) = 20 + 24 = 44 So, the total price of 2 apples and 3 bananas is 44.
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