Maths

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Hey :)

I'm sitting my maths non-calculator GCSE tomorrow and am currently revising. I'm doing a practise paper and am currently stuck on this question:


Express A in terms of w.

3w + 20 A
-------- = --------
200 A + 12



-- What does the question mean?

-- Can you explain to me step by step how to solve this problem? I'm really bad with understanding maths lingo btw :)



Thank you!

  • Maths -

    Arg, that problem is supposed to be

    3w + 20
    -------
    200


    is equal to

    A
    ----
    A + 12

  • Maths -

    write it like this, it is easier to read in this format.

    (3w+20)/200 = A/(A+12)

    cross-multiply to get
    (3w+20)(A+12) = 200A
    3Aw + 36w + 20A + 240 = 200A
    3Aw - 180A = -240 - 36w
    switch all the signs
    180A - 3Aw = 240 + 36w
    factor out an A
    A(180 - 3w) = 240 + 36w
    divide by 180 - 3w

    A = (240+36w)/(180-3w)
    A = (80+12w)/(60-w)

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