Question

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

Answer 1

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

Answer 2

The
`(11)/(20)` represents the portion of the paints that are watercolors or acrylics.

Explanation:

Given :

Percentage of paint set that contain watercolors = 30 %

thus, fraction of paint set that contain watercolors
`=(30)/(100)`

Percentage of paint set that contain acrylics = 25 %

thus, fraction of paint set that contain acrylics
`=(25)/(100)`

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.

`=(30)/(100)+(25)/(100)`

`=(30+25)/(100)`

`=(55)/(100)`

Thus,the fraction represents the portion of the paints that are watercolors or acrylics is
`(55)/(100)=(11)/(20)`.