Question

Each player will pay $5 to attend the banquet for their soccer league, and the league will pay the rest of the cost. The total cost for banquet is $960. Of there are 60 players in the league, find the cost per player.



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Answer 1

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.

1. **Calculate total amount paid by all players:**

Each player pays $5, and there are 60 players:

\[
\text{Total amount paid by players} = 60 \text{ players} \times 5 \text{ dollars/player} = 300 \text{ dollars}
\]

2. **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:

\[
\text{Total cost} - \text{Amount paid by players} = \text{Amount paid by league}
\]
\[
960 \text{ dollars} - 300 \text{ dollars} = 660 \text{ dollars}
\]

3. **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**.