Question

Enter an inequality that represents the description, and then solve.Toni can carry up to 17 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and herbooks (6) weigh 2 lb each. How many books can she carry in her backpack?The inequality isToni can carry up tobooks in her backpack.

Answer 1

We are given a problem that can be solved using an inequality. We are told that Toni can carry a maximum of 17 lb. Therefore, the sum of the weights inside her backpack must be smaller or equal to 17 lb. The sum of the weight inside her backpack is 1 lb lunch, 2 lb clothes, and 2n books (n = number of books). We can write this mathematically like this:

$1+2+2n\le17$

Now we solve for "n", first by solving the operations, like this:

$3+2n\le17$

Now we subtract 3 on both sides of the inequality:

$\begin{gathered} 3-3+2n\le17-3 \\ 2n\le14 \end{gathered}$

Now we divide both sides by 2

$\frac{2n}{2}\le\frac{14}{2}$$n\le7$

This means that Toni can carry at most 7 books