Question

Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 lb and several 14 lb snack packs. The total weight of the care package must be less than 25 lb.

Which statement describes the solution to this inequality?

Drag and drop the answer into the box.

Response area

Answer 1

To ensure the total weight of the care package is less than 25 lb, Marisol can include a maximum of 1 snack pack in addition to the 4 lb board game.

Step-by-step explanation:

To ensure that the total weight of the care package is less than 25 lb, Marisol needs to keep track of the weight of the board game and the snack packs. The board game weighs 4 lb and each snack pack weighs 14 lb. Since Marisol wants to send several snack packs, let's say she includes x snack packs in the package.

The total weight of the package can be represented by the inequality 4 + 14x < 25. To find the maximum number of snack packs Marisol can include, we can solve the inequality:

4 + 14x < 25

Subtracting 4 from both sides gives 14x < 21.

Dividing both sides by 14 gives x < 1.5.

Since Marisol cannot include a fraction of a snack pack, she can include a maximum of 1 snack pack in the package.