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Linear equations in two variables SAT question

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

A machine makes large boxes or small boxes, one at a time, for a total of minutes each day. It takes the machine minutes to make a large box or minutes to make a small box. Which equation represents the possible number of large boxes, , and small boxes, , the machine can make each day?

ExplanationShow

Choice B is correct. It’s given that it takes the machine minutes to make a large box. It's also given that represents the possible number of large boxes the machine can make each day. Multiplying by gives , which represents the amount of time spent making large boxes. It’s given that it takes the machine minutes to make a small box. It's also given that represents the possible number of small boxes the machine can make each day. Multiplying by gives , which represents the amount of time spent making small boxes. Combining the amount of time spent making large boxes and small boxes yields . It’s given that the machine makes boxes for a total of minutes each day. Therefore represents the possible number of large boxes, , and small boxes, , the machine can make each day.

Choice A is incorrect and may result from associating the time of minutes with small, rather than large, boxes and the time of minutes with large, rather than small, boxes.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

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