solving a simple equation

Discussion in 'Math' started by Bigcountry, Jan 1, 2010.

  1. Bigcountry

    Thread Starter Active Member

    Jul 4, 2008
    71
    0
    I have having trouble with this simple for the last couple of days. I thought I almost had it but I got stumped again. Funny thing is I know the answer already but I just don't know how to solve it. My calculator doesn't have problem solving it either. So I hope someone can't shed the light on this.
    here is the problem.


    x multiple .25 + x = 17.5

    I know x is the same number but I don't know how to arrive at the final answer.

    here is the answer with the numbers already add

    14 times .25 = 3.5 + 14= 17.5

    I can't remember if I have came across this before. I feel kind dumb that I can't figure this out. I am beginning to think it is impossible. I think the problem I having mostly is because (x) is the same number and there is only one variable. The other problem maybe that I just realized I having is combining both x's. thank you for the solution. Because i know this is so easy but I just can't figure it out. what a way to start off a new years. :D
     
  2. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
    0.25x+x=17.5

    1.25x=17.5

    x=17.5/1.25=14
     
  3. Fraser_Integration

    Member

    Nov 28, 2009
    142
    5
    x is equivalent to 1 multiply x.

    so you have (0.25 times x) plus (1 times x).

    This can be factorised, as x is common to both terms, by taking x 'out of the brackets'

    x(0.25 + 1) = 1.25x

    After practice you will be able to do this instinctively, but that is the reason why it works.
     
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