Question

1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and several snack packs that each weigh ½ lb. The total weight of the care package must be less than 25 pounds.
(A)Write an inequality to model the situation. Use x to stand for the number of snack packs she includes.
(b) Solve the inequality to find the maximum number of snack packs Marisol can include in the package.
(c) What is the maximum number of snack packs Marisol can include in the package? Give your answer in the form of a sentence.

Answer 1

The content of care package would be a board game and several snack packs.

Given is the weight of board game = 4 pounds.

The weight of one snack pack = $\frac{1}{2} \;pounds = 0.5 \;pounds$

The total weight would be less than 25 pounds.

Solving for part A :

Let 'x' represents the number of snack packs.

So the weight of all snack packs would be 0.5x pounds.

Now weight of care pack = weight of board game + weight of all snack packs.

weight of care pack = 4 + 0.5x

But total weight must be less than 25 pounds.

So the inequality would be: 4 + 0.5x < 25

Solving for part B :

Solving the inequality 4 + 0.5x < 25

⇒ 4 + 0.5x - 4 < 25 - 4

⇒ 0.5x < 21

⇒ x < 42

Solving for part C :

Since x < 42 and x is an integer number, so x = 41.

She can include maximum of 41 snack packs in the care package.