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Algebra / Linear equations in two variables Difficulty: Medium

A store sells two different-sized containers of blueberries. The store’s sales of these blueberries totaled $896.86$ dollars last month. The equation $4.51 x + 6.07 y = 896.86$ represents this situation, where $x$ is the number of smaller containers sold and $y$ is the number of larger containers sold. According to the equation, what is the price, in dollars, of each smaller container?

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Explanation

The correct answer is $4.51$ . It’s given that the equation $4.51 x + 6.07 y = 896.86$ represents this situation, where $x$ is the number of smaller containers sold, $y$ is the number of larger containers sold, and $896.86$ is the store’s total sales, in dollars, of blueberries last month. Therefore, $4.51 x$ represents the store's sales, in dollars, of smaller containers, and $6.07 y$ represents the store's sales, in dollars, of larger containers. Since $x$ is the number of smaller containers sold, the price, in dollars, of each smaller container is $4.51$ .