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Members of a soccer team raised \( \$ 1818.50 \) to go to a tournament. They rented a bus for \( \$ 960.50 \) ar budgeted \( \$ 35.75 \) per player for meals. Write and solve an equation which can be used to determine number of players the team can bring to the tournament. Answer Attempt 1 out of 2 Equation: Answer: \( p= \)

Ask by Page Allan. in the United States
Feb 22,2025

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Answer

The team can bring 24 players to the tournament.

Solution

Let p represent the number of players. The total amount raised must cover both the bus rental and the meal cost for each player. This gives the equation:   35.75p + 960.50 = 1818.50 To solve for p, first subtract 960.50 from both sides:   35.75p = 1818.50 – 960.50   35.75p = 858 Now, divide both sides by 35.75:   p = 858 / 35.75   p = 24 Thus, the number of players the team can bring is 24.

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To determine the number of players the team can bring to the tournament, you'll want to set up an equation based on the total funds available after paying for the bus. The total amount raised is \( \$ 1818.50 \), and the cost of the bus is \( \$ 960.50 \). This leaves us with: \[ 1818.50 - 960.50 = 858 \] Now, if we let \( p \) be the number of players, the total meal cost for the players would be \( 35.75p \). The equation to represent this situation is: \[ 35.75p = 858 \] Now, solving for \( p \): \[ p = \frac{858}{35.75} \approx 24 \] So, the team can bring approximately 24 players to the tournament! Answer: \( p = 24 \)

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