Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.
Let the total number of candies in the bag be = x
Then, Skittles are [tex]\frac{1x}{2}[/tex]
Candies left = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]
M&Ms are = [tex]\frac{1x}{8}[/tex]
Now remaining candies are= [tex]\frac{3x}{8}[/tex]
Now Life savers are = [tex]\frac{9x}{32}[/tex]
Now adding all these 3 candies
[tex]\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}[/tex]
=[tex]\frac{29x}{32}[/tex]
Now the remaining candies sour patch will be =
[tex]x-\frac{29x}{32} =\frac{3x}{32}[/tex]
Hence, sour patch kids are [tex]\frac{3}{32}[/tex]