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28 July, 17:06

A social club charters a bus at a cost of $560 to take a group of members on an excursion to Atlantic City. At the last minute, five people in the group decide not to go. This raises the transportation cost per person by $2. How many people originally intended to take the trip?

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  1. 28 July, 20:20
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    40 persons

    Explanation:

    Given:

    Total cost of trip = $560

    Number of people Decide not to go = 5 people

    raise cost = $2

    Assume:

    Number of people wants to go = a

    Cost per person = b

    So, a x b = $560, b = 560/a

    After people decided not to go,

    Total number of people = (a-5)

    New cost = (b+2)

    So, total cost = (a-5) (b+2) = $560

    ab + 2a - 5b - 10 = 560, where ab = $560

    2a - 5b = 10

    2a - 5b = 10

    By putthing value of b

    2a - 5 (560/a) = 10

    2a - (2800 / a) = 10

    2a² - 2800 = 10a

    2a² - 10a - 2800 = 0

    a = 40

    Total 40 persons wants to go.
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