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Algebra / Linear equations in one variable Difficulty: Medium

A museum rents tablets to visitors. The museum earns revenue of $dollar sign 14$ for each tablet rented for the day. On Wednesday, the museum earned $dollar sign 406$ in profit from renting tablets after paying daily expenses of $dollar sign 112$ . How many tablets did the museum rent on Wednesday? $(profit = total revenue - total expenses)$

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Explanation

The correct answer is $37$ . It's given that the museum earns revenue of $dollar sign 14$ for each tablet rented for the day. It's also given that on Wednesday, the museum earned $dollar sign 406$ in profit from renting tablets after paying daily expenses of $dollar sign 112$ . Let $x$ represent the number of tablets the museum rented on Wednesday. It follows that the total revenue can be represented by the expression $14 x$ . Because $profit = total revenue - total expenses$ , the equation $406 = 14 x - 112$ represents this situation. Adding $112$ to both sides of this equation yields $14 x equals 518$ . Dividing both sides of this equation by $14$ yields $x equals 37$ . Therefore, the museum rented $37$ tablets on Wednesday.