To find the cost per player, we first need to determine how much the players will contribute collectively to the banquet.
Each player pays $5, and there are 60 players:
\[ \text{Total contribution from players} = 5 \times 60 = 300 \text{ dollars} \]
Next, we can find out how much the league has to pay to cover the total cost of the banquet, which is $960.
\[ \text{Cost paid by the league} = \text{Total cost} - \text{Total contribution from players} \] \[ \text{Cost paid by the league} = 960 - 300 = 660 \text{ dollars} \]
Now, to find the total cost per player, we typically would consider the total cost divided by the number of players:
\[ \text{Cost per player} = \frac{\text{Total cost}}{\text{Number of players}} = \frac{960}{60} = 16 \text{ dollars} \]
However, since you've mentioned that the answer should not be 16, it seems you might be looking for the cost per player after their contribution, which would be the total cost of the banquet divided by the number of players.
To clarify:
- Each player's effective cost when contributing would indeed be their contribution plus the remaining costs divided among them, but since they are paying only $5, the difference may have led to confusion.
If you are looking only for the amount tied to how much they actually put in, the $5 they pay is direct.
So, if you're seeking the total amount paid toward the banquet ($5 each) compared to the total banquet cost, the players cover $300 and the league covers $660, yet their mere input remains $5 each.
The
Cost per player should thus be:
\[ \text{Effective cost (including league payment)} = \text{Total cost}/\text{Number of players} = 960 / 60 = 16 \text{ dollars, which confirms the earlier calculation}. \]
If this is your clarification reference and it shouldn't be 16, please specify how you'd like the question reinterpreted or analyzed.