Solution:
The word problem will be developed into Mathematical statements.
[tex]\begin{gathered} \text{Let j represent James' score} \\ \text{Let r represent Richard's score} \end{gathered}[/tex][tex]\begin{gathered} \text{James scored twice as many points as Richard} \\ \text{This means;} \\ j=2r \end{gathered}[/tex][tex]\begin{gathered} \text{Hence,} \\ 2r=j \\ \\ \text{The ratio of Richard's points to James' points will be;} \\ \frac{r}{j}=\frac{1}{2} \\ r\colon j=1\colon2 \end{gathered}[/tex]Therefore, the ratio of Richard's points to James' points is 1:2