Question Bank / Math / Linear Equations in Two Variables

Linear equations in two variables SAT question

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

A shipment consists of $5$ -pound boxes and $10$ -pound boxes with a total weight of $220$ pounds. There are $13$ $10$ -pound boxes in the shipment. How many $5$ -pound boxes are in the shipment?

ExplanationShow

Choice D is correct. It's given that the shipment consists of $5$ -pound boxes and $10$ -pound boxes with a total weight of $220$ pounds. Let $x$ represent the number of $5$ -pound boxes and $y$ represent the number of $10$ -pound boxes in the shipment. Therefore, the equation $5 x + 10 y = 220$ represents this situation. It's given that there are $13$ $10$ -pound boxes in the shipment. Substituting $13$ for $y$ in the equation $5 x + 10 y = 220$ yields $5 x + 10 (13) = 220$ , or $5 x + 130 = 220$ . Subtracting $130$ from both sides of this equation yields $5 x = 90$ . Dividing both sides of this equation by $5$ yields $18$ . Thus, there are $18$ $5$ -pound boxes in the shipment.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the number of $10$ -pound boxes in the shipment.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

Linear equations in two variables SAT question

More Linear equations in two variables questions