Question

Alex got 30 points on the math competition. This is of her friend's3/5points. How many points did her friend get?

Answer 1

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

`a=(3)/(5)* x`

where

`\begin{gathered} a=\text{Alex point=30} \\ x=\text{friend's point} \end{gathered}`

Step 3: substitute the necessary values

`\begin{gathered} 30=(3)/(5)* x \\ 30=(3x)/(5) \end{gathered}`

Simplifying further

`\begin{gathered} \text{cross multiply:} \\ 3x=30*50 \\ 3x=150 \end{gathered}`

To get the friend's point (x), we will divide both sides by 3

`\begin{gathered} (3x)/(3)=(150)/(3) \\ x=50 \end{gathered}`

This means that the friend got 50 points