$80 \textbackslash\% \cdot 10=8$, $60\textbackslash\% \cdot 20=12$, $50\textbackslash\% \cdot 30=15$  Adding them up gets $8+12+15=35$. The overall percentage correct would be $\frac{35}{60} \approx 0.58$. 
Patrick gets $80 \textbackslash\%$ on a 10 -problem test, $60 \textbackslash\%$ on a 20 -problem test and $50 \textbackslash\%$ on a 30 -problem test. If the three tests are combined into one 60 problem test, which percent is closest to her overall score? (adapted from 2006 AMC 8, Question \#12) 

(1) $$50$$ 
(2) $$52$$ 
(3) $$55$$ 
(4) $$58$$ 
(5) $$60$$ 