I find a very confusing question in Manhattan's algebra strategy book pg 115. Please Correct me if Im wrong.
if a=3bc, what is the value of c?
(1) a=10-b
(2) 3a = 4b
Manhattan answer: [spoiler]B: statement 2 itself is sufficient because : 3a=4b => a/b=4/3 => c= 1/3 x a/b = 1/3 * 4/3
[/spoiler]
However I think B is wrong, Because statement 2 leads to 2 results: a/b=4/3 OR b=a=0
in case a=b=0 => c can be any number => correct answer must be C: both statement together are sufficient but neither statement alone is sufficient.
if a=3bc, what is the value of c?
(1) a=10-b
(2) 3a = 4b
Manhattan answer: [spoiler]B: statement 2 itself is sufficient because : 3a=4b => a/b=4/3 => c= 1/3 x a/b = 1/3 * 4/3
[/spoiler]
However I think B is wrong, Because statement 2 leads to 2 results: a/b=4/3 OR b=a=0
in case a=b=0 => c can be any number => correct answer must be C: both statement together are sufficient but neither statement alone is sufficient.
