Question 1034001: =The marching band is going to march in the Macy’s Thanksgiving Day parade next year. The group rate for airline tickets is $40,000, and the hotel bill will be $15,000. Each member will have to contribute $225 for the cost of buses and food, plus an equal share of the airline fee and the hotel bill. If each member of the band contributes $500 for the trip, how many band members can go to the parade next year?
Equation and answer . Thanks very much.
Found 2 solutions by stanbon, Theo:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The marching band is going to march in the Macy’s Thanksgiving Day parade next year. The group rate for airline tickets is $40,000, and the hotel bill will be $15,000. Each member will have to contribute $225 for the cost of buses and food, plus an equal share of the airline fee and the hotel bill. If each member of the band contributes $500 for the trip, how many band members can go to the parade next year?
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Expensive:: 40000 + 15000 - 225x - 500x = 0
55000-725x = 0
x = 55000/725
x = 75.86
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Answer:: 75
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Cheers,
Stan H.
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Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! let x = the number of band members.
the cost of the trip is equal to 40,000 + 15,000 + 225 * x.
simplify this to get the cost of the trip = 55,000 + 225 * x.
if each member contributes 500 dollars, then the total cost of the trip will be equal to 500 * x.
your equation becomes 500 * x = 55,000 + 225 * x.
subtract 225 * x from both sides of this equation to get:
275 * x = 55,000.
divide both sides of this equation by 275 to get:
x = 55,000 / 275 = 200.
your solution is that 200 band members can make the trip if each of them contributes 500 dollars to the cost of the trip.
200 * 500 = 100,000 dollars total.
55,000 + 225 * 200 = 100,000.
200 band members can pay for the total cost of the trip if each contributes 500 dollars.
225 * 200 = 45,000 for the variable cost of food and buses.
275 * 200 = 55,000 for the fixed cost of airline and hotel.
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