turkey-yks 2013 Q7

turkey-yks · Other · lys1-math Simultaneous equations
$\mathbf { a } , \mathbf { b } , \mathbf { c }$ are non-zero real numbers and $\mathbf { a } + \mathbf { b } + \mathbf { c } = \mathbf { a b }$. Given this,
$$\frac { a b + a c + b c + c ^ { 2 } } { a b c }$$
Which of the following is this expression equal to?
A) $\frac { a + 1 } { a }$
B) $\frac { b + 1 } { b }$
C) $\frac { c + 1 } { c }$
D) $\frac { b } { a }$
E) $\frac { b } { c }$
$\mathbf { a } , \mathbf { b } , \mathbf { c }$ are non-zero real numbers and $\mathbf { a } + \mathbf { b } + \mathbf { c } = \mathbf { a b }$. Given this,

$$\frac { a b + a c + b c + c ^ { 2 } } { a b c }$$

Which of the following is this expression equal to?\\
A) $\frac { a + 1 } { a }$\\
B) $\frac { b + 1 } { b }$\\
C) $\frac { c + 1 } { c }$\\
D) $\frac { b } { a }$\\
E) $\frac { b } { c }$