Hi Student!
The first step to solving our question is to understand the problem statement and to extract important information that will be useful. We are told that the local candy shops sells Jelly Beans for $2 a pound and Chocolate Melts for $3 a pound. We are also told that Kelsi has no more than $12 to spend. Finally, we are told that the purpose of this question is to write an inequality to capture the scenario.
We know that we have two variables, the variable x for jelly beans and the variable y for chocolate melts. Creating an inequality we need to capture the total of these two should be no more than $12. This means that it isn't just less than $12 but that it can also include $12; therefore, we use a less-than-equal sign.
Create an expression
This inequality captures the goal of our expression which is to see how two items combined should be less than the total price that we want to spend. Let's create a new inequality with updated numbers with our information.
Plug in values
Simplify to just numbers
After plugging in the values, we have a lot of unnecessary information such as the dollars signs or words so we can remove that and just have the numbers to show that is going on.
Therefore, our final answer is that the inequality that best represents this scenario is [tex]2 x + 3y\leq 12[/tex]
