The city bus line charges $2 per adult and $1 per child to ride. During a 4-hour period a bus driver collects $1,171 from 617 riders. What i

Question

The city bus line charges $2 per adult and $1 per child to ride. During a 4-hour period a bus driver collects $1,171 from 617 riders. What is the system of equation

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7 days 2021-11-22T05:55:21+00:00 1 Answer 0 views 0

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  1. Charlotte
    0
    2021-11-22T05:56:40+00:00

    Answer:

    A+C=617...(1)

    2A+C=1171...(2)

    Step-by-step explanation:

    Let A represent number of adults and C represent number children.

    We have been given that there are 617 rider. We can represent this information in an equation as:

    A+C=617...(1)

    We are also told that the city bus line charges $2 per adult, so cost of ride for A adults would be 2A.

    The city bus line charges $1 per child to ride, so cost of ride for C children would be 1C=C.

    We are told that a bus driver collects $1,171 from 617 riders. This means total ride cost of A adults and C children is equal to $1171. We can represent this information in an equation as:

    2A+C=1171...(2)

    Therefore, our required system of equations would be:

    A+C=617...(1)

    2A+C=1171...(2).

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