Answer:
Pound of Apples = 2$
Pound of Banana = 2.75$
Step-by-step explanation:
Data
Yesterday Christopher sold 35 pounds of apples (35A) and 34 pounds of bananas (34B) for a total revenue of $163.5 (=163.50)
Today he sold 15 pounds of apples (15A) and 17 pounds of bananas (17B) for a total revenue of $76.75. (=76.75)
Now well, we have a system of the equation
35A+34B=163.50
15A+17B=76.75
we must eliminate A or B, As you can see 34 is twice 17, so we multiply on both sides of the equation so as not to alter it
35A+34B=163.50 35A+34B=163.50
15A+17B=76.75 (-2) ⇒ -30A-34B=-153.50
5A-0B = 10
5A=10 ⇒ A=10/5 ⇒ A=2
and B:
35(2)+34B=163.5 ⇒ 70+34B=163.5 ⇒ 34B=163.5-70
34B=93.5 = 93.5/34
B=2.75
Let x represent the price of each pound of apples and y represent the price of each pound of bananas.
Since 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. Hence:
35x + 34y = 163.50 (1)
Also, 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. Hence:
15x + 17y = 76.75 (2)
Solving equations 1 and 2 simultaneously gives x = 2, y = 2.75
The price of each pound of apples is $2 while price of each pound of banana is $2.75
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