Jerrica is packing a box that can hold at most 65 pounds. She starts by putting a container in the box that weighs 26 pounds. She plans to fill the rest of the box with hooks. Each book she placed in the box weighs 1.3 pounds. Write an inequality for the number of books Jerrica can put in the box, and describe the solutions.

Question

___x+___≤___, where x is the number of books Jerrica can put in the box. Jerrica can put at most ___ books in the box.

Answer 1

The weight of the box with the books inside cannot exceed 65 pounds. So, the inequality for the number of books Jerrica can put in the box is:
1.3x + 26 ≤ 65

To solve this inequality, we can first subtract 26 from both sides:
1.3x ≤ 39

Then, divide both sides by 1.3:
x ≤ 30

Therefore, Jerrica can put at most 30 books in the box.