The equation computed shows that the price of apple is $2 and the price of banana will be $2.75.
How to compute the equation?
Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. This will be:.
35a + 34b = 163.50
He also sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. This will be:
15a + 17b = 76.75
Equate both equations
35a + 34b = 163.50 ..... i
15a + 17b = 76.75 ...... ii
Multiply equation i by 15.
Multiply equation ii by 35
525a + 510b = 2452.50 .... iii
525a + 595b = 2686.25 .... iv
Subtract equation iii from iv
85b = 233.75
b = 233.75/85
b = 2.75.
The price of banana is $2.75.
The price of apple will be:
35a + 34b = 163.50
35a + 34(2.75) = 163.50
35a + 93.50 = 163.60
35a = 163.50 - 93.50
35a = 70
a = 70/35
a = 2
The price of apple is $2.
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