SOLUTION: Could you please help me on this word problem: The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is room for 72 people altogether. How man

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Could you please help me on this word problem: The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is room for 72 people altogether. How man      Log On


   

Question 296379: Could you please help me on this word problem:
The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is room for 72 people altogether. How many 4-passenger cars are there? How many 6 passenger cars are there?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is room for 72 people altogether. How many 4-passenger cars are there? How many 6 passenger cars are there?
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Equations:
Cars Eq:::: f + s = 15 cars
Chairs Eq:: 4f +6s = 72
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Multiply thru 1st equation by 4:
4f + 4s = 60
4f + 6s = 72
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Substract 1st from 2nd and solve for s:
2s = 12
s = 6 (# of 6-passenger cars)
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Cheers,
Stan H.
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