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A group of friends are planning a road trip. If they all contributed $24, then they would be $6 short of the total. If they all contributed $25, then they would have $3 more than needed. What is the total cost of the trip?

  • maths -

    C = Cost

    n = nubers of friends


    If they all contributed $24, then they would be $6 short of the total:


    n * 24 = C - 6 Add 6 to both sides

    24 n + 6 = C - 6 + 6

    24 n + 6 = C

    C = 24 n + 6



    If they all contributed $25, then they would have $3 more than needed.


    n * 25 = C + 3

    25 n = C + 3 Subtract 3 to both sides

    25 n - 3 = C + 3 - 3

    25 n - 3 = C

    C = 25 n - 3


    C = C


    24 n + 6 = 25 n + 3 Subtract 24 n to both sides

    24 n + 6 - 24 n = 25 n - 3 - 24 n

    6 = n - 3 Add 3 to both sides

    6 + 3 = n - 3 + 3

    9 = n

    n = 9

    Group have 9 friends


    C = 24 n + 6

    C = 24 * 9 + 6

    C = 216 + 6

    C = 222 $


    OR


    C = 25 n - 3

    C = 25 * 9 - 3

    C = 225 - 3

    C = 222 $


    The total cost of the trip is 222 $

  • maths -

    Cool I got the right answer not using cheat . im ready to the next level

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