To answer this question, you will need to use a part to part to whole ratio. The ratio of blue to white strings is only a part to part ratio.
The only other piece of information with a number is 77 total strings. Because of this we need to find the total number of strings in the original, simple ratio.
Blue:white:total or white:total
5 to 6 to 11 Or 6:11
From here we create an equivalent ratio using 77 total.
5:6:11 = 35:42:77 or 42:77
There are 42 white strings.