A manager is responsible for ordering supplies for a shaved ice shop. The shop’s inventory starts with 4,500 paper cups, and the manager estimates that 70 of these paper cups are used each day. Based on this estimate, in how many days will the supply of paper cups reach 1,700?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
4,500 Choice B is correct. It’s given that the shop’s inventory starts with paper 70 cups and that the manager estimates that of these paper cups are used each day. Let x represent the number of days in which the estimated supply of paper 1,700 4,500-70 =1,700 cups will reach . The equation x represents this situation. 4,500 -70 =-2,800 Subtracting from both sides of this equation yields x . -70 =40 Dividing both sides of this equation by yields x . Therefore, based on 1,700 40 this estimate, the supply of paper cups will reach in days. 20 Choice A is incorrect. After days, the estimated supply of paper cups would be 4,500-70 20 3,100 1,700 60 ^ h, or cups, not cups. Choice C is incorrect. After 4,500-70 60 300 days, the estimated supply of paper cups would be ^ h, or cups, 1,700 80 not cups. Choice D is incorrect. After days, the estimated supply of 4,500-70 80 -1,100 paper cups would be ^ h, or cups, which isn’t possible.
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