At Billy’s school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 wheels. How man

Question

At Billy’s school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 wheels. How many of each are used

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Acacia 1 month 2021-08-04T19:03:37+00:00 1 Answers 2 views 0

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    2021-08-04T19:05:34+00:00

    Answer:

    x = number of bicycles = 35

    y = number of cars = 55

    Step-by-step explanation:

    Let

    x = number of bicycles

    y = number of cars

    x + y = 80 (1)

    2x + 4y = 270 (2)

    From (1)

    x = 80 – y

    Substitute x = 80 – y into (2)

    2x + 4y = 270 (2)

    2(80 – y) + 4y = 270

    160 – 2y + 4y = 270

    – 2y + 4y = 270 – 160

    2y = 110

    y = 110/2

    y = 55

    Substitute y = 55 into (1)

    x + y = 80 (1)

    x + 55 = 80

    x = 80 – 55

    x = 35

    x = number of bicycles = 35

    y = number of cars = 55

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