Question

Elam is packing his room to move into a new house. A small box can hold 8 books without breaking, while a large box can hold 12 books without breaking. He has at most 160 books to pack and less than 30 boxes total. Let s represent the number of small boxes and l represent the number of large boxes. The inequalities s ≥ 0 and l ≥ 0 are part of the system that models this scenario. Which inequalities complete the system? s – l < 30 8s – 12l ≤ 160 s + l < 30 8s + 12l ≤ 160 s + l > 30 8s + 12l ≤ 160 s + l < 30 8s + 12l ≥ 160

Answer 1

B

Explanation:

Just did it

Answer 2

`\text{Elam ispacking his room to move into a new house.}\\ \\ \text{let the number of small box is s and the number of large box be l.}\\ \\ \text{since he has at most 160 books to pack and less than 30 boxes total.}\\ \\ \text{so the total number of small and large boxes is less than 30. so}\\ \\ s+l <30\\ \\ \text{since the small box can hold 8 books and large box can hold 12 books}\\ \text{without breaking. and he has at most 160 books to pack. so we have}\\ \\ 8s+12l\leq 160`

`\text{hence the system that models this scenario is given by the inequalities}\\ \\ s+l<30,\\ \\ 8s+12l\leq 160`