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

Question

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Answer 1

To determine the total cost per player for the banquet, you first need to calculate the total contribution from the players and then calculate the rest of the cost that the league will cover.

1. Calculate the total amount paid by the players: Each player pays $5, and there are 60 players. \[ \text{Total contribution from players} = 60 \times 5 = 300 \text{ dollars} \]

2. Calculate the total cost of the banquet: The total cost for the banquet is already given as $960.

3. Calculate the remaining cost that the league needs to cover: To find out how much the league will pay, you subtract the total contribution from players from the total cost of the banquet: \[ \text{Cost covered by the league} = \text{Total cost} - \text{Total contribution from players} \] \[ \text{Cost covered by the league} = 960 - 300 = 660 \text{ dollars} \]

Thus, the league covers $660 of the banquet cost, and each player contributes $5, amounting to a total cost per player of $5 (which is their direct contribution). The additional costs are covered by the league.

In summary:

• Cost per player contribution: $5
• Total cost per player (from players’ point of view): $5
• Total cost for the league to cover: $660 (not necessary to find per player since that’s not a direct cost per player).

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Answer 2

wrong

Answer 3

Let's clarify the scenario step-by-step and find the overall cost per player.

1. Total Cost of the Banquet: $960

2. Contribution per Player: $5

3. Number of Players: 60

4. Total Contribution from Players: \[ \text{Total Contribution} = 60 \text{ players} \times 5 \text{ dollars/player} = 300 \text{ dollars} \]

5. Cost Covered by the League: \[ \text{Cost Covered by the League} = \text{Total Cost} - \text{Total Contribution} = 960 - 300 = 660 \text{ dollars} \]

6. Now, to find the effective cost per player (which includes the portion covered by the league):

   • The total cost per player is calculated by taking the total cost and dividing it by the number of players: \[ \text{Total Cost per Player} = \frac{\text{Total Cost}}{\text{Number of Players}} = \frac{960}{60} = 16 \text{ dollars} \]

Thus, each player effectively contributes to a total cost per player of $16 (which includes their $5 contribution plus the league covering the rest of the costs).

Summary

• Individual contribution: $5
• Total cost covered by the league: $660
• Overall cost per player (including the league's contribution): $16

Let me know if you have any further questions!