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

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Answer 1 · 2017-06-20T15:16:03

See below.

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