Jadyn prepares a bag of candy before a road trip. The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids. Of the candy, 1/2 are Skittles, 1/4 of the remaining pieces are M&Ms and 3/4 of the rest are Life Savers. The remaining pieces are Sour Patch Kids. What percent of the total pieces of candy are Sour Patch Kids?

Respuesta :

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]