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 books. Each book she places 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.
Let x be the number of books Jerrica can put in the box.
The total weight of the books is 1.3x pounds.
Jerrica can put x number of books in the box if the total weight of the container, the books, and the books don't exceed the maximum weight of the box.
The inequality is:
26 + 1.3x ≤ 65
Subtract 26 from both sides:
1.3x ≤ 39
Divide both sides by 1.3:
x ≤ 30
The solutions are all numbers less than or equal to 30, since Jerrica cannot put a fraction of a book in the box.