AnswersFinancial MathSystems of Linear Functions in Financial Contexts — QuizQuestion 8
8
QuizMultiple Choice

Systems of Linear Functions in Financial Contexts — Quiz

Question 8 • Financial Math

Alejandro sold apples for $⁢0.50 each and oranges for $⁢0.75 each. He earned a total of $⁢125 from selling these fruits. Let x be the number of apples Alejandro sold and y be the number of oranges. The system of equations that model this scenario is: 0 point 5 0 x plus 0 point 7 5 y is equal to 125 x plus y is equal to 200 How many apples and oranges did Alejandro sell?

Answer
A
150 apples and 50 oranges
B
100 apples and 100 oranges
C
200 apples and 200 oranges
D
50 apples and 150 oranges

Explanation

The equations say Alejandro sold 200 fruits altogether and earned $125. Substitute x = 200 − y into the earnings equation: 0.50(200 − y) + 0.75y = 125, which simplifies to 100 + 0.25y = 125, so y = 100. Then x = 200 − 100 = 100, so the correct choice is 100 apples and 100 oranges.

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