The Cost of a child ticket is c.
Therefore, the cost of an Adult ticket = 4 + c
cost of a senior ticket = 3 + c
For Amelias family
3 children + 2 adults
cost = 3c + 2(4+c) = 5c + 8
For manuels family
2 children 1 adult and 2 seniors
cost = 2c + 4+c + 6 + 2c = 5c + 10
The amount paid by the manuels family is more.