Question 94
Given a real number $x$, the symbol $\lfloor x\rfloor$ denotes its integer part (that is, the largest integer less than or equal to $x$) and $\{x\}$ its fractional part (that is, $x-\lfloor x\rfloor$). Let $x$, $y$, $z$ be three positive real numbers satisfying the following system:
$$
\left\{\begin{array}{l}
3\lfloor x\rfloor-\{y\}+\{z\}=20.3 \\
3\lfloor y\rfloor+5\lfloor z\rfloor-\{x\}=15.1 \\
\{y\}+\{z\}=0.9
\end{array}\right.
$$
What is the value of $x+y+z$?
(A) 10.8
(B) 11.1
(C) 11.6
(D) 12.8
(E) 13
$$
\left\{\begin{array}{l}
3\lfloor x\rfloor-\{y\}+\{z\}=20.3 \\
3\lfloor y\rfloor+5\lfloor z\rfloor-\{x\}=15.1 \\
\{y\}+\{z\}=0.9
\end{array}\right.
$$
What is the value of $x+y+z$?
(A) 10.8
(B) 11.1
(C) 11.6
(D) 12.8
(E) 13