SOLUTION: 12 vans and 10 buses contain 304 students, 4 vans and 8 buses contain 204 students. How many students can a van carry? How many students can a bus carry?
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Question 800240: 12 vans and 10 buses contain 304 students, 4 vans and 8 buses contain 204 students. How many students can a van carry? How many students can a bus carry? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 12 vans and 10 buses contain 304 students, 4 vans and 8 buses contain 204 students. How many students can a van carry?
Equations:
12v + 10b = 304 students
4v + 8b = 204 students
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Modify for elimination:
12v + 10b = 304
12v + 24b = 612
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Subtract and solve for "b":
14b = 308
b = 22 (# of students per bus)
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Solve for "v":
4v + 8*22 = 204
4v + 176 = 204
4v = 28
v = 7 (# of students per van)
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Cheers,
Stan H.
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