At the start of the the day, Ben and Carla had a certain

Last updated: 7/15/2022

At the start of the the day, Ben and Carla had a certain number of paper clips in each of their pencil cases. Together, they had a combined total of 40 paper clips. Ben used 5 paper clips before lunch, and Carla used 5 paper clips after lunch. The product of the number of paper clips they each have left in their pencil cases at the end of the day is no more than 216. Write an inequality where b represents the number of paper clips Ben had at the start of the day. If Ben has more paper clips than Carla, how many paper clips does Ben have? b²-45b+416 20 Ben has at least 13 paper clips. b²-45b+416 ≥0 Ben has at least 32 paper clips. b²-40b+391 ≥ 0 Ben has at least 17 paper clips. b²-40b+391 20 Ben has at least 23 paper clips.