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    mattdog13's Avatar
    mattdog13 Posts: 1, Reputation: 1
    New Member
     
    #1

    Nov 15, 2006, 07:50 PM
    A formula
    Three-fourths of a number increased by 1 is 7. what is the number.
    kyop's Avatar
    kyop Posts: 48, Reputation: 11
    Junior Member
     
    #2

    Nov 15, 2006, 09:54 PM
    Remember the key words in mathematics:

    Of = times (multiply)
    Is = equals

    (There are a lot more, but not that are pertinent to this problem.

    three-fourths of a number increased by 1 is 7.
    3/4 * x + 1 = 7

    So: (3/4)x + 1 = 7

    Solving it as a two step equation:

    (3/4)x + 1 = 7
    -1 -1
    (3/4)x = 6
    (4/3) * (3/4)x = (4/3) * 6
    1x = 8
    x = 8

    I am assuming you can do the necessary arithmetic so I left out detailed descriptions of those steps. If you still don't get it, write back and I'll help you with that.
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
    Full Member
     
    #3

    Nov 16, 2006, 06:34 AM
    "three-fourths of a number increased by 1 is 7. what is the number."
    (3/4 * x) + 1 = 7

    or

    3/4 * (x + 1) = 7

    The question is ambiguous to me.
    kyop's Avatar
    kyop Posts: 48, Reputation: 11
    Junior Member
     
    #4

    Nov 16, 2006, 08:19 AM
    Because of:

    a) the obvious level of the problem and
    b) the wording of the problem

    I would have to say that it is intended to be 3/4x + 1 = 7

    The problem doesn't work out "cleanly" the other way and the wording (although slightly ambiguous, granted) leans far more towards my set-up. The other way 3/4(x + 1) = 7 would be worded three-quarters of the sum of a number and 1 or three-quarters of a number that is increased by 1.

    Sorry, I just don't buy the ambiguity. You're reading too much into it.
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
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    #5

    Nov 19, 2006, 06:47 PM
    Exactly - order of operations removes the ambiguity.
    Lady enfuego's Avatar
    Lady enfuego Posts: 1, Reputation: 1
    New Member
     
    #6

    May 26, 2008, 02:36 PM
    Solve limit equation: lim x is at 2
    x^3-2x^2+4x-8/x^4-2x^2=x-2
    morgaine300's Avatar
    morgaine300 Posts: 6,561, Reputation: 276
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    #7

    May 26, 2008, 04:08 PM
    Quote Originally Posted by Lady enfuego
    Solve limit equation: lim x is at 2
    x^3-2x^2+4x-8/x^4-2x^2=x-2
    Please start your own thread for your question. You've tacked this onto a 2 year old post that is also unrelated to your question. It tends to cause people to waste time reading through a thread just to get to an entirely different question.

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