Question

solutions to real - world inequality problems practice
complete this assessment to review what youve learned. it will not count toward your grade.
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. (2 points)
$\square x + \square \leq \square$, where $x$ is the number of books jerrica can put in the box. jerrica can put at most $\square$ books in the box.
check answer remaining attempts : 3

Explanation:

Step1: Define variable & total weight

Let $x$ = number of books. Total weight = weight of books + container weight: $1.3x + 26$

Step2: Set up inequality (max 65 lbs)

Total weight ≤ 65, so $1.3x + 26 \leq 65$

Step3: Isolate the $x$ term

Subtract 26 from both sides:
$1.3x \leq 65 - 26$
$1.3x \leq 39$

Step4: Solve for $x$

Divide both sides by 1.3:
$x \leq \frac{39}{1.3}$
$x \leq 30$

Answer:

$1.3x + 26 \leq 65$, where $x$ is the number of books Jerrica can put in the box. Jerrica can put at most 30 books in the box.