# Complicated symbols make this problem easy

Algebra Level 3

Given the system$\lfloor b\rfloor+ \lceil a\rceil+ \{c\}=16$ $\lfloor c\rfloor+ \lceil b\rceil +\{a\}=11.3$ $\lfloor a\rfloor+ \lceil c\rceil +\{b\}=9.7 ,$ what is $a+b+c$?

Note:
$\lfloor x\rfloor$ Represents the floor function, which takes the greatest integer smaller or equal to x.
$\lceil x\rceil$ represents the ceiling function, which takes the smallest integer greater or equal to x.
Finally, $\{x\}$ represents the fractional part function.

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