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Christopher runs a farm stand that sells apples and bananas. Yesterday Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. Today he sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. Determine the price of each pound of apples and the price of each pound of bananas.

 Feb 14, 2020
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35 a   +   34 b = 163.50    (given)

15 a   +   17 b = 76.50      (given)      multiply this equation by -2

-30 a     - 34 b = -153.00        now add this equation to the first equation t get

 

5 a                  =   10.50          solve this for a   (apple's price)  then sub this value into one of the equations to find  banana price, b.

 Feb 14, 2020

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