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12 August, 15:12

a car rental company rents vehicles to groups one group rented 5 vans and 2 cars to fit 70 people another group rented 3 vans and 4 cars to fit 56 people each vehicle was completely filled how many people fit in a van how many people fit in a car

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  1. 12 August, 17:20
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    12 people fit in a van, 5 fit in a car

    Step-by-step explanation:

    v is people in a van, c is people in a car

    5v+2c=70

    3v+4c=56

    5v+2c=70

    2c=70-5v

    c=35-2.5v

    now use substitution to plug in c

    3v+4 (35-2.5v) = 56

    3v+140-10v=56

    140-7v=56

    -7v=-84

    v=12

    now we know v, plug it in to find c

    5 (12) + 2c=70

    60+2c=70

    2c=10

    c=5

    12 people fit in a van, 5 fit in a car
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