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Algebra / Linear equations in two variables Difficulty: Easy

$4 x plus 3 y, equals 24$

Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?

The total cost, in dollars, for all binders purchased

The total cost, in dollars, for all notebooks purchased

The total cost, in dollars, for all binders and notebooks purchased

The difference in the total cost, in dollars, between the number of binders and notebooks purchased

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Explanation

Choice C is correct. Since Mario purchased 4 binders that cost x dollars each, the expression $4 x$ represents the total cost, in dollars, of the 4 binders he purchased. Since Mario purchased 3 notebooks that cost y dollars each, the expression $3 y$ represents the total cost, in dollars, of the 3 notebooks he purchased. Therefore, the expression $4 x plus 3 y$ represents the total cost, in dollars, for all binders and notebooks he purchased. In the given equation, the expression $4 x plus 3 y$ is equal to 24. Therefore, it follows that 24 is the total cost, in dollars, for all binders and notebooks purchased.

Choice A is incorrect. This is represented by the expression $4 x$ in the given equation. Choice B is incorrect. This is represented by the expression $3 y$ in the given equation. Choice D is incorrect. This is represented by the expression $the absolute value of, 4 x minus 3 y, end absolute value$ .