An artist's paint set contains 30% watercolors and 25% acrylics.What fraction represents the portion of the paints that are watercolors or acrylics?

Respuesta :

C. 11/20
30/(30+25)*100 = 54,5% 
25/(30+25)*100 = 45,5% 

Answer:

The [tex]\frac{11}{20}[/tex] represents the portion of the paints that are watercolors or acrylics.

Step-by-step explanation:

Given :

Percentage of paint set that contain watercolors = 30 %

thus, fraction of paint set that contain watercolors[tex]=\frac{30}{100}[/tex]  

Percentage of paint set that contain acrylics = 25 %

thus, fraction of paint set that contain acrylics [tex]=\frac{25}{100}[/tex]  

We have to find the fraction represents the portion of the paints that are watercolors or acrylics.

Thus,  the portion of the paints that are watercolors or acrylics = fraction of paint set that contain watercolors + fraction of paint set that contain acrylics.

[tex]=\frac{30}{100}+\frac{25}{100}[/tex]

[tex]=\frac{30+25}{100}[/tex]

[tex]=\frac{55}{100}[/tex]

Thus,the fraction represents the portion of the paints that are watercolors or acrylics is [tex]\frac{55}{100}=\frac{11}{20}[/tex].