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19 January, 00:33

all 231 students in the Math club went on a field trip. Some student rode in vans which hold 7 students and some students rode in buses which hold 25 students each. how many of each type of vehicle did they use if there were 15 vehicles total?

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Answers (2)
  1. 19 January, 00:59
    0
    8 Vans & 7 buses.

    Step-by-step explanation:

    Given:

    Total number of students = 231

    1 van rode = 7 students

    1 bus rode = 25 students

    Let x denote the number of vans used & y denote the number of bus used, then,

    x+y = 15 ... (1)

    and, 7x + 25y = 231 ... (2)

    On solving eq (1) & (2) we get,

    From equation (1), x = 15-y

    Putting in eq (2), we get,

    7 (15-y) + 25y = 231

    105 - 7y + 25y = 231

    18y = 126

    y = 7

    and, x = 15 - 7 = 8

    Hence, 8 vans were used & 7 buses were used.
  2. 19 January, 01:22
    0
    7 buses

    8 vans

    Step-by-step explanation:

    We know that out of 231 students, some student rode in vans which hold 7 students and some students rode in buses which hold 25 students each so we can write an equation:

    7V + 25B = 231 - - - (1)

    And since there were 15 vehicles in total:

    V + B = 15 - - - (2)

    V = 15 - B

    Substituting the value of V in (1):

    7 (15-B) + 25B = 231

    105 - 7B + 25B = 231

    18B = 126

    B = 7

    Substituting this value of B in (2):

    V + 7 = 15

    V = 8
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