Question

Raul’s basketball team played. Raul scored 1/5 of his teams points. His friend scored 20 percent. What is the fraction both both Raul and his teams points

Answer 1

To find the fraction of the points scored by both Raul and his friend in relation to the total points scored by the team, let’s denote the total points scored by the team as \( P \).

1. **Raul's Contribution**: Raul scored \( \frac{1}{5} \) of the team's points, which can be expressed mathematically as:
\[
\text{Points scored by Raul} = \frac{1}{5}P
\]

2. **Friend's Contribution**: His friend scored 20 percent of the team's points. In fraction terms, 20 percent is equivalent to \( \frac{20}{100} = \frac{1}{5} \). So, the points scored by his friend can also be expressed as:
\[
\text{Points scored by friend} = \frac{1}{5}P
\]

3. **Total Contribution**: Now, we add both Raul's and his friend's contributions together:
\[
\text{Total points scored by Raul and his friend} = \frac{1}{5}P + \frac{1}{5}P = \frac{2}{5}P
\]

4. **Fraction of Total Points**: The total points scored by Raul and his friend as a fraction of the total team points \( P \) is:
\[
\text{Fraction of team points scored by Raul and friend} = \frac{\frac{2}{5}P}{P} = \frac{2}{5}
\]

Therefore, the fraction of the total points scored by both Raul and his friend is \( \frac{2}{5} \).