Answer:
![4P+2G=96\\3P+1G=60 or 3P+G=60](https://tex.z-dn.net/?f=4P%2B2G%3D96%5C%5C3P%2B1G%3D60%20or%203P%2BG%3D60)
Step-by-step explanation:
Given in the question:
a) A family paid $96 for 4 pool passes and 2 gym memberships.
b) Later that day, an individual bought pool passes for herself and 2 of her friends, and 1 gym membership for her. She paid $60.
Let's write the system of equations for each purchase that happened in the scenario.
Let,
P=Price of each pool passes
G= Price of each gym membership
We get,
a) A family paid $96 for 4 pool passes and 2 gym memberships:
![4P+2G=96](https://tex.z-dn.net/?f=4P%2B2G%3D96)
b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her. She paid $60:
![3P+1G=60](https://tex.z-dn.net/?f=3P%2B1G%3D60)
Therefore, the equations generated in the scenario were:
![4P+2G=96\\3P+1G=60 or 3P+G=60](https://tex.z-dn.net/?f=4P%2B2G%3D96%5C%5C3P%2B1G%3D60%20or%203P%2BG%3D60)
Where,
P=Price of each pool passes
G= Price of each gym membership
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