Question

Darren is making veggie burgers for his family. He will use all the burger mix he made to form 4 burgers of equal weight. The recipe only makes 32 ounces of burger mix, but Darren made more than that to make extra big burgers.
Let x represent how much each of Darren's burgers will weigh. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Each of Darren's burgers will weigh more than ounces.

Answers

GPT-4o mini
Let \( x \) represent the weight of each of Darren's burgers. Since Darren is making 4 burgers, the total weight of all the burgers can be represented as \( 4x \).

Darren has a total of 32 ounces of burger mix. Therefore, the inequality that captures the scenario is:

\[
4x \leq 32
\]

Now, we will solve the inequality for \( x \):

1. Divide both sides of the inequality by 4:

\[
x \leq \frac{32}{4}
\]

2. Simplify the right side:

\[
x \leq 8
\]

This tells us that each of Darren's burgers can weigh up to 8 ounces.

To complete the sentence based on the solution, we need to express that Darren's burgers will weigh **more** than a certain amount, keeping in mind that they must be less than or equal to 8 ounces since that's the maximum based on the burger mix he has.

Since there is no minimum weight specified in the problem, we can't strictly say they weigh more than any specific number without that information. However, we can reasonably infer that if Darren is aiming for extra big burgers, then he will likely determine a weight greater than an average size, possibly something like:

Each of Darren's burgers will weigh more than **0 ounces** (considering there’s no specific minimum).

In summary, the most precise answer based on the inequality solved would be:

Each of Darren's burgers will weigh **more than 0 ounces** and **at most 8 ounces**.