Last weekend, Raul's basketball team played in a tournament. Raul scored [tex]\frac{1}{5}[/tex] of the team's points. His friend Jake scored [tex]20\%[/tex] of the team's points. What fraction of the team's points were scored by Raul and Jake?

A. [tex]\frac{2}{5}[/tex]
B. [tex]\frac{1}{10}[/tex]
C. [tex]\frac{1}{4}[/tex]
D. [tex]\frac{1}{5}[/tex]



Answer :

To find the total fraction of the team's points scored by Raul and Jake, we need to add the portions of points they each scored.

First, let's convert their contributions to a common form:

1. Raul scored [tex]\(\frac{1}{5}\)[/tex] of the team's points.

2. Jake scored [tex]\(20\%\)[/tex] of the team's points. We convert this percentage to a fraction:
[tex]\[ 20\% = \frac{20}{100} = \frac{1}{5} \][/tex]

Now, we add the two fractions:
[tex]\[ \frac{1}{5} + \frac{1}{5} \][/tex]

Since these fractions have the same denominator, we can simply add the numerators:
[tex]\[ \frac{1 + 1}{5} = \frac{2}{5} \][/tex]

So, Raul and Jake together scored [tex]\(\frac{2}{5}\)[/tex] of the team's points. Therefore, the correct answer is:

(A) [tex]\(\frac{2}{5}\)[/tex]