A shipment consists of 5 -pound boxes and 10 -pound boxes with a total weight of 220 pounds. There are

Question

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?

Accepted Answer

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.

Question a-ship