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14 September, 08:58

Oni's school went on a field trip to the zoo. They took 3 buses and 2 vans for a total of 118 students. On another trip they took 1 bus and 7 vans to transport 128 students. How many students rode each van and each bus?

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  1. 14 September, 11:08
    0
    X = bus Y = van

    3x+2y=118

    X+7y=128

    Multiply the bottom row by - 3

    3x+2y=118

    -3x-21y = - 384

    -19y=-266

    Y=14. 3x+2 (14) = 118

    3x+28=118

    3x = 90

    X=30
  2. 14 September, 12:12
    0
    14 students rode in a van and 30 rode in a bus.

    Step-by-step explanation:

    Let the number of students who rode on a van = v and the number on a bus be b.

    Then we have the system of equations:

    3b + 2v = 118

    b + 7v = 128

    Multiply the second equation by 3:-

    3b + 21v = 384

    3b + 2v = 118 Subtract:-

    19v = 266

    v = 14.

    Now substitute v = 14 in the first equation

    3b + 2 (14) = 118

    3b = 90

    b = 30.
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