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:
The \(\frac{11}{20}\) 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\(=\frac{30}{100}\)
Percentage of paint set that contain acrylics = 25 %
thus, fraction of paint set that contain acrylics \(=\frac{25}{100}\)
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.
\(=\frac{30}{100}+\frac{25}{100}\)
\(=\frac{30+25}{100}\)
\(=\frac{55}{100}\)
Thus,the fraction represents the portion of the paints that are watercolors or acrylics is \(\frac{55}{100}=\frac{11}{20}\).