Question
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of \( \$ 31.90 \). The price of the math textbook is \( \$ 7 \) more than twice the price of the novel. We want to determine the price of each book. Use the information provided to answer the following questions: (a) Identify what \( x \) and \( y \) should represent in this situation. A \( x= \) the math textbook. \( \boldsymbol{y}= \) the novel. B \( \boldsymbol{x}= \) total number of items bought. \( y= \) total price of items bought. c \( \boldsymbol{x}= \) number of math textbooks available for sale. \( y= \) number of novels available for sale. D \( x= \) the price of the math textbook. \( y= \) the price of the novel. Qour answer is correct. (b) Translate the first sentence: "the total purchase amounted to \( \$ 31.90 \) ", into a math equation. EP Equation: Enter your answer
Ask by Wang Lang. in the United States
Mar 11,2025
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Answer
\( x + y = 31.90 \)
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Mind Expander
The correct translation of the first sentence into a mathematical equation would be: \( x + y = 31.90 \) This equation simply states that the sum of the price of the math textbook (represented by \( x \)) and the price of the novel (represented by \( y \)) equals the total amount Carla spent. To solve for both the price of the math textbook and the novel, you can use the additional information that relates them: \( x = 2y + 7 \). By substituting this into the first equation, you can find the values of \( x \) and \( y \). Happy calculating!
