Give: Alex got 30 points
we are also told that Alex points is 3/5 of her friend's point
To get the friends' point, we will follow the steps below
Step 1: Represent the friend's point with x, also represent Alex score with a
step 2: express the statement mathematically
[tex]a=\frac{3}{5}\times x[/tex]
where
[tex]\begin{gathered} a=\text{Alex point=30} \\ x=\text{friend's point} \end{gathered}[/tex]
Step 3: substitute the necessary values
[tex]\begin{gathered} 30=\frac{3}{5}\times x \\ 30=\frac{3x}{5} \end{gathered}[/tex]
Simplifying further
[tex]\begin{gathered} \text{cross multiply:} \\ 3x=30\times50 \\ 3x=150 \end{gathered}[/tex]
To get the friend's point (x), we will divide both sides by 3
[tex]\begin{gathered} \frac{3x}{3}=\frac{150}{3} \\ x=50 \end{gathered}[/tex]
This means that the friend got 50 points
