There are 36 inches in a yard. Multiply 36x8 to get 288. Divide this by 6 for each segment of string which would equal 48 strands.
Recall that for
, we have

Replace
with
and we get

Lastly, multiply this by
, so that

Answer:
The ratio of the songs is 5:3
Step-by-step explanation:
This means that for every 5 songs Adam has, his mother has 3. We can do that in intervals of 5:3, with 10:6, 15:9, 20:12, and etc.