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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

Sagot :

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.

Learn more about equations on:

https://brainly.com/question/13763238

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