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.
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.