Final answer:
The system of inequalities representing Sarah's situation, considering the price of bracelets and necklaces and the target earnings, is 2b + 3n > 500 and b > 50, where b is the number of bracelets and n is the number of necklaces.
Step-by-step explanation:
To create a system of inequalities for Sarah's situation, we need to take into account the price of bracelets and necklaces, the minimum sales needed for bracelets, and the goal of earning more than $500.
Let's define b as the number of bracelets and n as the number of necklaces Sarah sells. We have two inequalities based on the given information:
- Sarah needs to make more than $500: 2b + 3n > 500.
- Sarah will sell greater than 50 bracelets: b > 50.
Therefore, the system of inequalities that represents Sarah's situation is: