A company has two manufacturing plants. Plant A and Plant B. Three times Plant A's production is equal to one half of the total produced by the company. If T represents the total produced by the company, which of the following is equal to the amount produced by Plant B?
A. 5/6 T
B. 2/3 T
C. 1/2 T
D. 1/3 T
E. 1/6 T
I get choice A, but not sure if it's correct.

Question

A company has two manufacturing plants. Plant A and Plant B. Three times Plant A's production is equal to one half of the total produced by the company. If T represents the total produced by the company, which of the following is equal to the amount produced by Plant B? 
A. 5/6 T
B. 2/3 T
C. 1/2 T
D. 1/3 T
E. 1/6 T
I  get choice A, but not sure if it's correct.

anonymous · Answer

T is the total production:
So, here A's production is 1/2 of A,So we can write it as:
$$A's + B's = T$$
$$\frac{1}{2}T + B's = T$$

Now subtract 1/2(T) from both the sides, can you do it??

anonymous · Answer

*So here A's production is 1/2 (T)     sorry I have written wrong there..

anonymous · Answer

@mshi9696 reply if you can do it or not?? I am here to make you understand each and every thing but please just interact properly..

anonymous · Answer

Sorry, i was trying to answer another problem, i will be back in one minute.

anonymous · Answer

Take your time..

anonymous · Answer

subtract 1/T from both sides? 
isn't 1/2x-x=-b
       -1/2x=-b
      ....

anonymous · Answer

No..
How??

anonymous · Answer

This point you got?
$$A's + B's = T$$

anonymous · Answer

yes

anonymous · Answer

Now what is A's in terms of T??

anonymous · Answer

A's = $\frac{1}{2}$T     right??

anonymous · Answer

yes

anonymous · Answer

wait

anonymous · Answer

3a=1/2 T

anonymous · Answer

Three times Plant A's production is equal to one half of the total produced by the company.

anonymous · Answer

Oh really sorry, I misread the question.

yes you are pretty right..

$3A's = \frac{1}{2}T$

anonymous · Answer

So find here A's by dividing it by 3..

anonymous · Answer

a=1/6

anonymous · Answer

Of T.. Don't forget..

anonymous · Answer

Oh yeah

anonymous · Answer

So:
Here we go:
$$A's + B's = T \implies \frac{1}{6}T + B's = T$$

anonymous · Answer

so B is 5/6 ?

anonymous · Answer

Yep... But why this is not the answer??

anonymous · Answer

No I meant that I am not sure if I was correct.

anonymous · Answer

Oh sorry you have written there that you are not sure about this, I thought you said this is ot right..

anonymous · Answer

So you are right, Have Faith in yourself..

anonymous · Answer

I don't have the answer key. :( Anyways, thank you so much!!

anonymous · Answer

You are welcome dear..

anonymous · Answer

The way you solved I think you are the answer key  yourself..