Answer: 36
Step-by-step explanation:
Given : The ratio of the purple flowers to black flowers is 4 to 8.
Let the number of purple flowers be 4x and the number of black flowers be 8x.
Since , there are a total of 108 flowers.
Then we have the following equation :-
[tex]4x+8x=108\\\\\Rightarrow\ 12x=108\\\\\Rightarrow\ x=\dfrac{108}{12}=9[/tex]
Now, the number pf purple flowers = 4(9)=36
Hence, there are 36 purple flowers.