Question

1. max is creating a playlist and can have at most 180 minutes of music. he currently has 45 minutes. how many more minutes of music could max include in the playlist?
2. belinda’s bakery profits $8.00 on each box of a dozen cookies. belinda would like to profit at least $304 per day. how many boxes will belinda need to sell each day?

Explanation:

Step1: Define variable for extra minutes

Let $x$ = additional minutes.

Step2: Set up inequality for playlist

$45 + x \leq 180$

Step3: Solve for $x$

$x \leq 180 - 45$
$x \leq 135$
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Step1: Define variable for cookie boxes

Let $y$ = number of boxes.

Step2: Set up inequality for profit

$8y \geq 304$

Step3: Solve for $y$

$y \geq \frac{304}{8}$
$y \geq 38$

Answer:

1. Max could include at most 135 more minutes of music.
2. Belinda needs to sell at least 38 boxes each day.