To find the cost per player, we first need to determine how much the players are collectively paying and how much the league will contribute.
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Calculate total amount paid by all players:
Each player pays $5, and there are 60 players:
\[ \text{Total amount paid by players} = 60 \text{ players} \times 5 \text{ dollars/player} = 300 \text{ dollars} \]
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Determine how much the league will pay:
The total cost of the banquet is $960. The league will cover the remaining cost after the players' contributions:
\[ \text{Total cost} - \text{Amount paid by players} = \text{Amount paid by league} \] \[ 960 \text{ dollars} - 300 \text{ dollars} = 660 \text{ dollars} \]
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Calculate the total cost per player for the banquet:
To find the cost per player, we need to consider the total cost of the banquet divided by the number of players:
\[ \text{Cost per player} = \frac{\text{Total cost}}{\text{Number of players}} = \frac{960 \text{ dollars}}{60 \text{ players}} = 16 \text{ dollars/player} \]
Thus, the cost per player for the banquet is $16.