Asked by Sarah
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
<i>-- 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 :)</i>
Thank you!
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
<i>-- 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 :)</i>
Thank you!
Answers
Answered by
Sarah
Arg, that problem is supposed to be
3w + 20
-------
200
is equal to
A
----
A + 12
3w + 20
-------
200
is equal to
A
----
A + 12
Answered by
Reiny
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)
(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)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.