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?
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The inequality that represents the situation is 4 + 14n < 25, where n represents the number of snack packs in the care package.
To determine the solution to this inequality, we need to find the maximum number of snack packs (n) that can be included in the care package while still keeping the total weight less than 25 lb.
Let's solve the inequality:
4 + 14n < 25
14n < 25 - 4
14n < 21
n < 21/14
n < 3/2
Therefore, the maximum number of snack packs that can be included in the care package is 1.
So, the solution to the inequality is n < 1.
The inequality solution is:
\[4 + 14n < 25\]
where \(n\) is the number of snack packs.
The solution to this inequality is:
4 + 14n < 25
where n represents the number of snack packs.
To find the solution, you can start by subtracting 4 from both sides of the inequality:
14n < 21
Next, divide both sides of the inequality by 14:
n < 1.5
Since the number of snack packs cannot be a fraction or decimal, the solution is that Marisol can include a maximum of 1 snack pack in the care package to keep the total weight under 25 lb.