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 the banquet is $960. If there are 60 players in the league, find the cost per player.(1 point)

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3 answers

To find the cost per player, we can follow these steps:

  1. First, determine the total amount collected from the players. Since there are 60 players and each pays $5:

    \[ \text{Total amount from players} = 60 \times 5 = 300 \text{ dollars} \]

  2. Next, we can find out how much the league has to pay by subtracting the amount collected from the total cost of the banquet:

    \[ \text{League's contribution} = \text{Total cost} - \text{Total amount from players} = 960 - 300 = 660 \text{ dollars} \]

  3. Now, since the question specifically asks for the cost per player of the banquet, we consider the total cost of the banquet divided by the number of players:

    \[ \text{Cost per player} = \frac{\text{Total cost}}{\text{Number of players}} = \frac{960}{60} = 16 \text{ dollars} \]

Thus, the cost per player for the banquet is $16.

Wrong

Let's carefully go through the calculation again.

  1. Total cost of the banquet: $960
  2. Number of players: 60
  3. Amount paid by each player: $5

Step 1: Calculate total contributions from players

Total amount collected from the players is:

\[ \text{Total contributions from players} = 60 \times 5 = 300 \text{ dollars} \]

Step 2: Calculate the league's contribution

Now, the league will cover the remaining cost beyond what the players have paid:

\[ \text{League's contribution} = \text{Total cost} - \text{Total contributions from players} \] \[ \text{League's contribution} = 960 - 300 = 660 \text{ dollars} \]

Step 3: Determine the cost per player based solely on the total cost

The total cost per player (if we were to spread the entire cost of the banquet evenly among all players) is given by:

\[ \text{Cost per player} = \frac{\text{Total cost}}{\text{Number of players}} = \frac{960}{60} = 16 \text{ dollars} \]

However, if you were asking how much each player effectively pays when contributing in total including the league's support, each player is paying $5 directly, and the league is covering the additional costs.

Conclusion

  • Each player pays: $5 (this is how much a player directly contributes).
  • Total cost of the banquet per player if spread evenly: $16.

If there are any other specifics you want me to clarify, please let me know!