The Student Room Group

simple rearranging thats got be baffled

I dunno why but this has got be completely baffled, maybe its because i'm not thinking straight with all the revision but i just CANNOT get my head around this make p the subject.



This is going to take someone 2 seconds however can they explain to me how they have reached their answer i get to...

(*100) 100A = 100P + PRT

then

(/RT) 100A/RT = 100p + p

then simplify

100A/RT = 101P

Where form here or have i gone total wrong way?
Reply 1
100a = P + Prt
100a= P + P(rt)
100art = 2p
100art/2 = P
a = P + Prt/100
100a = 100P + Prt
100a = P(100 + rt)
P = 100a / 100 + rt
Remember when you divide or multiply something you have to do it to the whole equation.
Reply 4
a=p+prt/100 [*100]
100a=100p+prt [factorise p]
100a=p(100+rt) [divide both sides by (100+rt)]
p=100a/(100+rt) [look the answer :smile:]

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edit: divide by 100 on top and bottom

p = a / (1 + rt/100) [see edit]
Reply 5
Sparkling_Jules
Remember when you divide or multiply something you have to do it to the whole equation.

something which you did. :rolleyes:
Reply 6


This is taken directly from the aqa mark scheme for that year. A TOUGHER question than it looks i think, i don't know what they're doing here and i thought your answer was right ramroff but this is just not the case with aqa always got to make things that much more dificult
DaveManUK
something which you did. :rolleyes:



Oops just spotted that and edited it.
Reply 8
A = P + Prt/100

A - P = Prt/100

100(A-P) = Prt

100a - 100P = Prt

100a = 100P + Prt

100a = P(100+rt)

100a/(100+rt) = P
Reply 9
I am with people up until this point...

100a = P(100 + rt)
P = 100a / 100 + rt

what's the crack here, how can you just suddenly turn the 100a into 100a/100+rt and completely forget about the p just put on other side of = sign.

also afterwards when you change it to 1+rt what going on here?

Sorry for the backward nature of my question however this is something i've never come accross before, give me a quadratic anyday :wink:
Reply 10
thewebmaster
I am with people up until this point...

100a = P(100 + rt)
P = 100a / 100 + rt

what's the crack here, how can you just suddenly turn the 100a into 100a/100+rt and completely forget about the p just put on other side of = sign.

also afterwards when you change it to 1+rt what going on here?

Sorry for the backward nature of my question however this is something i've never come accross before, give me a quadratic anyday :wink:


Like i had wrote

100a = 100P + Prt

there is a common factor of P on the RHS

So u take that common factor which makes it to P(100+rt)
thewebmaster
I am with people up until this point...

100a = P(100 + rt)
P = 100a / 100 + rt

what's the crack here, how can you just suddenly turn the 100a into 100a/100+rt and completely forget about the p just put on other side of = sign.

also afterwards when you change it to 1+rt what going on here?

Sorry for the backward nature of my question however this is something i've never come accross before, give me a quadratic anyday :wink:

read my post aboves
Step by step:
a = P + PRT/100
100a = 100P + PRT x100
100a = P(100 + RT) take the P out (factorise)
100a/(100 + RT) = P divide by (100 + RT)
P = 100a/(100 + RT)

was it the lack of brackets at the end that confused you?
Reply 13
There is 100 both on the numerator and the denominator divide by 100 to get 100A into jus one A
so 100A / 100 = A
100/100 = 1
rt/100 = rt/100

This gives u the answer
Reply 14
Bit of a long winded question that one hope there isn't one on my exam.

What confused me was the fact there was the + sign and that means everything has to be multiplyed. Also i didn't see straight off the 100A/100+rt

then the divide by 1 i thought would be more complicated. i thought you were factorising or something when you had p = a/1+rt

Strange question. But thanks a lot everyone really helped me. Anyone fancy the other problem i'm stuck on, going through past papers and the bu**ers are just popping up at me everywhere.
it wasnt that hard
expand /get rid of denominators
isolate and factor
divide factors through
further simplification
a bit more practise with the algebra you should be doing those with your eyes closed
Reply 16
its the stupid questions likethis at the beginning that confuse me and make me waste time.

Then i don't have enough time to complete the paper and lose marks at the harder questions which i can do.

Does anyone have any links to dificult algebra i.e. the most dificult i will encounter at gcse level, thereby i can test myself and see if there are any techniques i don't know. The thing is i've only just come across the idea of algebraic fractions due to us having a slow class. This has caused me a lot of problems, i'll show you what i mean in another post sometime.
Reply 17
I don't know any links... but these questions always have the same method.

1) Remove any denominators. You've done this by multiplying by a 100. Easy. :smile:

2) Move all like terms (the ones containing what you want to make the subject) onto the same side of the equation. Easy again - treat things like 'PRT' as one term. I.e. if you're moving PRT, you put it on the other side as -PRT. You shouldn't split it up into P and RT. Move any that don't contain what you want to make the subject onto the other side. In this case, this stage is already done - all terms contain P are on the right, and all those that don't are on the left.

3) Factorise!

100A = 100P + PRT
becomes
100A = P(100+RT)

4) Then just move the brackets to the other side.

P = 100A/(100+RT)