SOLUTION: the senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the sam

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the sam      Log On


   

Question 662392: the senior class at High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of the students in each van and in each bus
Answer by stanbon(75887) About Me  (Show Source):
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High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of the students in each van and in each bus
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8v + 8b = 240
4v + b = 54
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Modify to get:
4v + 4b = 120
4v + b = 54
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Subtract and solve for "b":
3b = 66
b = 22 (each bus holds 22 students)
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Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (each van holds 8 students)
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Cheers,
Stan H.
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