Ms groves had trays of paint each tray has five colors one of the colors is purple.what fraction of the colors in 20 trays is purple

The correct answer is:
[tex] \frac{4}{20} = \frac{1}{5} [/tex].

Explanation:
Since 1 out of 5 trays are purple, this means the fraction is [tex] \frac{1}{5} [/tex].
However, to find the number of trays out of 20, we multiply 20 by [tex] \frac{1}{5} [/tex]:
20*[tex] \frac{1}{5} [/tex]=[tex] \frac{20}{1} * \frac{1}{5} = \frac{20}{5} = 4[/tex].

Answer Link

wifilethbridge wifilethbridge · Answer 2 · 2019-02-13T03:15:07-05:00

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Given : Ms groves had trays of paint each tray has five colors one of the colors is purple

To Find:. What fraction of the colors in 20 trays is purple

Solution:

Since each tray contains 5 colors

So, 20 tray contains no. of colors = 20*5

=100

Now we are also given that 1 out of five color is purple

So, each tray contain no. of purple color = 1

So, 20 tray contains purple color = 20*1 = 20

So, the fraction of the colors in 20 trays is purple :

[tex]=\frac{\text{No. of purple colors in 20 trays}}{\text{Total No. of colors in 20 trays}}[/tex]

[tex]=\frac{20}{100}[/tex]

[tex]=\frac{1}{5}[/tex]

Thus the [tex]\frac{1}{5}[/tex] fraction of the colors in 20 trays is purple