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 weights 1.3 pounds. Write an inequality for the number of books Jerrica can put in the box and describe the solutions.

Answer 1

Let x be the number of books Jerrica can put in the box.
The total weight of the books is 1.3x pounds.
Since the box can hold at most 65 pounds, we can write the inequality:
26 + 1.3x ≤ 65
Now let's solve for x.
First, subtract 26 from both sides:
1.3x ≤ 39
Next, divide both sides by 1.3:
x ≤ 30
The number of books Jerrica can put in the box is at most 30.