need help with 1&2 methods question

[mozart]

how do you transpose this?

2(1-2x)/3 - 2x= -2/5+4(2-3x)/3




and also this worded question:

two tanks contain equal amounts of water. They are connected by a pipe and 3000 litres of water is pumped from one tank to the other. One tank that contains 6 times as much water as the other. How many litres did each tank contain originally?

thanks in advance.

[Collin Li]

Strategy: Get a common denominator on each side, then cross multiply to get a playing field with no fractions (i.e: easy)

[mozart]

thnx for the help coblin but just this last bit here.
how did you factorise to get the 5 as the common factor. what happens to the 3?
and also whats (tex) and how does it go from -50x + 60x = 34 - 10

thnx sorry for the hassle.
and one more thing it says the answer it -2.4 not 2.4 :S

\Rightarrow 5(2-10x) = 34-60x[tex]\Rightarrow -50x + 60x = 34 - 10 \Rightarrow x = 2.4

[Collin Li]

Your question doesn't make sense, so this is how I'm reading the question:

Two tanks contain equal amounts of water. They are connected by a pipe and 3000 litres of water is pumped from one tank to the other. One tank now contains 6 times as much water as the other. How many litres did each tank contain originally?

[Collin Li]

how did you factorise to get the 5 as the common factor. what happens to the 3?

Here, I multiplied both sides by 15.

, which is why there is a factor of 5 outside the brackets.

[mozart]

ohhhh yer yer thnx heaps mate

[Collin Li]

and how does it go from -50x + 60x = 34 - 10

I'm pretty sure the answer is 2.4, I checked my working again. From there, you take the like terms to get:



No problem I've also answered the application question in a post above, if you didn't notice

[mozart]

because it says the final answer = -14/5

[Collin Li]

because it says the final answer = -14/5

Okay, I worked it out a third time, and I'm 99% certain that I'm right. The book might be wrong, or the question might have been written out wrong.

[mozart]

lollll i'll take you word seeing you managed a 45+ in methods :p
thanks again mate.