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.
___ x+ ___≤___, where x is the number of books Jerrica can put in the box.
Jerrica can put at most____ books in the box.
The inequality for the number of books Jerrica can put in the box is 1.3x + 26 ≤ 65, where x is the number of books Jerrica can put in the box.
To solve this inequality, we can subtract 26 from both sides of the equation:
1.3x ≤ 65 - 26
1.3x ≤ 39
Next, we can divide both sides of the inequality by 1.3 to solve for x:
x ≤ 39/1.3
x ≤ 30
Therefore, Jerrica can put at most 30 books in the box.