2. Ms. Groves has trays of paints for students in her art class. Each tray has 5 colors. One of the colors is purple. What fraction of the colors in 20 trays is purple?

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UpStudy AI · Accepted Answer

1. Total colors in 20 trays:  
   Since each tray has 5 colors, the total number of colors is  
   $$
   20 \times 5 = 100.
   $$

2. Total purple colors:  
   Each tray has 1 purple color, so for 20 trays, the number of purple colors is  
   $$
   20 \times 1 = 20.
   $$

3. Fraction of purple colors:  
   The fraction of purple colors is therefore  
   $$
   \frac{20}{100}.
   $$

4. Simplify the fraction:  
   Dividing the numerator and denominator by 20 gives  
   $$
   \frac{20 \div 20}{100 \div 20} = \frac{1}{5}.
   $$

The fraction of the colors that is purple is $$\frac{1}{5}$$.
The fraction of purple colors is $$\frac{1}{5}$$.

2. Ms. Groves has trays of paints for students in her art class. Each tray has 5 colors. One of the colors is purple. What fraction of the colors in 20 trays is purple?

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