A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buse

A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

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  1. Answer:

    3 cars and 4 buses

    Step-by-step explanation:

    Let x = cars

    Let y = buses

    7 vehicles

    x + y = 7

    cars hold 5 students and each bus holds 45 students

    5x + 45y = 195

    Solve using subbstitution

    x + y = 7

    x = 7 – y

    5x + 45y = 195

    5(7 – y) + 45y = 195

    35 – 5y + 45y = 195

    35 + 40y = 195

    -35             -35

    40y = 160

    y = 4 (buses)

    x + y = 7

    x + 4 = 7

    x = 3 (cars)

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