The total number of marbles is, 50.
11 yellow marbles
19 green marbles
x be the number of white marbles.
Without counting, x can be calculated as,
[tex]\begin{gathered} 11+19+x=50 \\ x=50-11-19=20 \end{gathered}[/tex]Therefore the ratio of green marbles to white marbles is,
[tex]\frac{G}{W}=\frac{19}{20}[/tex]Thus option B is correct.