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March 29, 2017

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There are 33 students in the band. There are 6 more fifth-grade students than third-grade students. There are an equal number of third- and fourth-grade students. How many third-grade students are in the band?

  • 3rd grade - ,

    3rd graders = x
    4th graders = x
    5th graders = x + 6 (this is because there are 6 MORE 5th graders than 3rd grade)

    Make an equation
    x + x + (x + 6)= 33
    group like terms
    3x + 6 = 33
    subtract 6 from both sides to get x alone
    3x = 27
    divide both sides by 3
    x = 9
    PLUG IN 9 for x

    3rd graders = x
    4th graders = x
    5th graders = x + 6

    add them to double check. Good luck

  • 3rd grade - ,

    what ever manger lser

  • 3rd grade - ,

    Third graders: x
    Fifth graders: 6+x
    Fourth graders: x (equal number as third graders)

    Assuming that there is no other grades in the band

    33 = x+(x+6)+x
    33 equals the sum of all the parts

    33 = 3x +6
    Bring together like terms

    27 = 3x
    Solve for x

    x = 9

    There are nine third graders in the band

  • 3rd grade - ,

    Thank you!! I really appreciate your help! ( :

  • 3rd grade - ,

    there are 9 third graders

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