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Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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?

ExplanationShow

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.

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