Jen is packing a box for her brother at college. The package must weigh less than 12 pounds. The table shows the weight of items she has already placed in the box.

Item Weight (pounds)
Boots 5.2
Jeans 1.25
Sweater 2.05
Running Shoes 2.25

She has the following items she wants to pack: a sweatshirt that weighs 1.25 pounds, a package of socks that weighs 1.2 pounds, and a book that weighs 0.75 pound. Jen places one more item in the box. Which of the items could she send?

Jen could send the
.

since 13.95 pounds > 12 pounds, thus Jen cannot pack all the items , however she may pick the item which when added to the items in the box would not exceed a total weight of 12 pounds

(10.75 + 1.25) pounds = 12 pounds
(10.75 + 1.20) pounds = 11.95 pounds
(10.75 + 0.75) pounds = 11.5 pounds

therefore, Jen can choose either of the latter two items i.e. a package of socks or the book .

semsee45 semsee45 · Answer 2 · 2024-04-04T14:12:37+02:00

Answer:

Jen could send either the package of socks or the book.

Step-by-step explanation:

To determine which additional item Jen can send while ensuring the package's weight remains under 12 pounds, we can set up and solve an inequality.

Let x be the weight of the additional item.

Therefore, the total weight of the packed items is:

[tex]\textsf{Total weight of packed items} = x + 5.2 + 1.25 + 2.05 + 2.25\\\\\textsf{Total weight of packed items} = x + 10.75[/tex]

As the total weight of the packed items needs to be less than 12 pounds, then:

[tex]x + 10.75 < 12[/tex]

To solve the inequality for x, subtract 10.75 from both sides:

[tex]x + 10.75 - 10.75 < 12 - 10.75\\\\x < 1.25[/tex]

Therefore, the weight of the additional item needs to be less than 1.25 pounds.

Since both the package of socks (1.2 pounds) and the book (0.75 pound) are less than 1.25 pounds, Jen could send either of these items while ensuring the package's weight remains under 12 pounds.