Answer:
[tex]Fraction = \frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]Trays = 20[/tex]
[tex]Each\ Tray = 5\ colors[/tex]
[tex]Each\ set = 1\ Purple[/tex]
Required
Fraction of purple in 20 trays
If there are 20 trays, then the total colors is:
[tex]Colors= 20 * 5[/tex]
[tex]Colors= 100[/tex]
This also means that, there are 20 purple colors in the set (i.e. 20 trays * 1 purple)
So, the fraction of purple color is:
[tex]Fraction = \frac{Purple}{Total}[/tex]
[tex]Fraction = \frac{20}{100}[/tex]
[tex]Fraction = \frac{1}{5}[/tex]