AnswersFinancial MathSystems of Linear Functions in Financial Contexts — QuizQuestion 9
9
QuizMultiple Choice

Systems of Linear Functions in Financial Contexts — Quiz

Question 9 • Financial Math

Beau sold hardcover books for $⁢15 each and paperback books for $⁢10 each. He earned a total of $⁢350 from selling these books. Let x be the number of hardcover books Beau sold and y be the number of paperback books. The system of equations that models this scenario is: 15 x plus 10 y is equal to 350 x plus y is equal to 30 How many hardcover and paperback books did Beau sell?

Answer
A
10 hardcovers and 20 paperbacks
B
15 hardcovers and 15 paperbacks
C
30 hardcovers and 0 paperbacks
D
20 hardcovers and 10 paperbacks

Explanation

The equation x + y = 30 means Beau sold 30 books altogether. If all 30 were paperbacks, he would earn $300; the additional $50 came from hardcover books earning $5 more each, so he sold $50 ÷ $5 = 10 hardcovers. That leaves 30 − 10 = 20 paperbacks, so the correct choice is A, 10 hardcovers and 20 paperbacks.

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