math steve

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steve can you explain step by step please
8x=5y and 3y=14z then 12x= how many z's

  • math steve -

    you know that 8x = 5y
    you know that 3y=14z

    since 5 = (5/3)*3, 5y = (5/3)*(3y) so,
    5y = (5/3)(3y) = (5/3)(14z) = (70/3)z

    now you have 5y, which is the same as 8x. You want 12x.

    since 12 = (3/2)*8, 12x = (3/2)*8x.

    12x = (3/2)(8x) = (3/2)(5y) = (3/2)(70/3)z = (70/2)z = 35z

    Don't know how I can clear it up any more.

  • math steve -

    3 y = 14 z
    so
    y = (14/3) z

    8 x = 5 (14/3) z
    x = (5/8)(14/3)z
    12 x = 12(5/8)(14/3)z = 35 z

  • math steve -

    Hi Steve
    When you have time can you please step in how did you resolve this problem?
    Reason to follow up is how did you get 2's and 3's
    Thx
    K

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