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17 October, 06:11

Class A rented and filled 11 vans and 4 buses with 289 students. School B rented and filled 7 vans and 12 buses with 581 students. How many students can the can carry? How many students can the bus carry

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  1. 17 October, 06:37
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    Answer: Van = 198 students

    bus = 672 students

    Step-by-step explanation:

    Let x represent the number of students in the vans and y represent the number of students in the buses, then from the first statement, we have

    11x + 4y = 289 ... equation 1

    From the second statement, we also have

    7x + 12y = 581 ... equation 2

    Combining the two equations together and solving simultaneously, we have

    x = 11 and y = 42

    therefore the number of students vans can carry will be'

    11x + 7x

    = 11 (11) + 7 (11)

    = 121 + 77

    = 198

    The number of students buses will carry will be

    4y + 12y

    = 4 (42) + 12 (42)

    = 168 + 504

    = 672
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