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An online bookstore sells novels and magazines. Each novel sells for $\\$4$, and each magazine sells for $\\$1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\\$20$, how many novels did she purchase?

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An online bookstore sells novels and magazines. Each novel sells for $\\$4$, and each magazine sells for $\\$1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\\$20$, how many novels did she purchase?

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Choice B is correct. Let $n$ be the number of novels and $m$ be the number of magazines that Sadie purchased. If Sadie purchased a total of 11 novels and magazines, then $n+m=11$. It is given that the combined price of 11 novels and magazines is $\\$20$. Since each novel sells for $\\$4$ and each magazine sells for $\\$1$, it follows that $4n+m=20$. So the system of equations below must hold.

$$4n+m = 20$$ $$n+m = 11$$

Subtracting the corresponding sides of the second equation from the first equation yields $3n=9$, so $n=3$. Therefore, Sadie purchased 3 novels.

Choice A is incorrect. If 2 novels were purchased, then a total of $\\$8$ was spent on novels. That leaves $\\$12$ to be spent on magazines, which means that 12 magazines would have been purchased. However, Sadie purchased a total of 11 novels and magazines. Choices C and D are incorrect. If 4 novels were purchased, then a total of $\\$16$ was spent on novels. That leaves $\\$4$ to be spent on magazines, which means that 4 magazines would have been purchased. By the same logic, if Sadie purchased 5 novels, she would have no money at all ($\\$0$) to buy magazines. However, Sadie purchased a total of 11 novels and magazines.

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An online bookstore sells novels and magazines. Each novel sells for $\\$4$, and each magazine sells for $\\$1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\\$20$, how many novels did she purchase?

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An online bookstore sells novels and magazines. Each novel sells for $\$4$, and each magazine sells for $\$1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\$20$, how many novels did she purchase?