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Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Question

Members of a baseball team raised 1128.75togotoatournament.Theyrentedabusfor1128.75 to go to a tournament. They rented a bus for 856.50 and budgeted $24.75 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

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Solution

Sure, let's break it down step by step.

  1. Identify the total amount of money raised: The team raised $1128.75.

  2. Identify the cost of the bus rental: The bus rental cost is $856.50.

  3. Identify the cost per player for meals: The cost per player for meals is $24.75.

  4. Set up the equation: The total amount of money raised minus the bus rental cost should equal the total amount spent on meals for all players. Let x x be the number of players.

    The equation will be: 1128.75856.50=24.75x 1128.75 - 856.50 = 24.75x

  5. Simplify the equation: Subtract the bus rental cost from the total amount raised: 1128.75856.50=272.25 1128.75 - 856.50 = 272.25

    So the equation becomes: 272.25=24.75x 272.25 = 24.75x

  6. Solve for x x : Divide both sides of the equation by 24.75 to find the number of players: x=272.2524.75 x = \frac{272.25}{24.75}

    Calculate the division: x=11 x = 11

So, the team can bring 11 players to the tournament.

This problem has been solved

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