If #a/b=4/3# and #b/c=2/3#, what is the value of #2b/a+b-c#?

I am having a hard time solving this. Also, can you give me a simple, fast way to answer this question?

1 Answer
Jun 20, 2017

Answer:

See below.

Explanation:

Since #a/b=4/3#, then #b/a=3/4#.

Since #b/c=2/3#, #3b=2c#, and #b=2/3c# (or #c=3/2b#).

Now we plug things in.

#2b/a+b-c=2(3/4)+2/3c-c=3/2-1/3c# or #2b/a+b-c=2(3/4)+b-3/2b=3/2-1/2b#