Final answer:
This mathematics question from middle school algebra asks to solve a system of equations to find the price of pool passes and gym memberships at a recreation center. The problem is partially incomplete due to a cutoff in the additional information needed to set up the second equation. Consequently, we cannot provide a final answer without this information.
Step-by-step explanation:
The question involves a linear system of equations, which is a topic in algebra within the field of mathematics. The problem presents a scenario where a family purchases a combination of pool passes and gym memberships for a total cost, and another individual purchases a different combination of the same items for a different total cost. To solve, we set up two equations based on the given information.
Step-by-step solution:
- Let the price of one pool pass be p dollars and the price of one gym membership be g dollars.
- According to the given information, 4p + 2g = $96.
- Unfortunately, the rest of the question seems to be cutoff. To proceed further, we would need the additional information about the second combination of purchases that the individual makes.
- If complete information were provided, we would use the additional information to set up a second equation and solve the system of equations either by substitution or elimination method to find the values of p and g.
Without the full information, this question is incomplete, and thus we cannot provide a final answer.