Answer: 95 points
Step-by-step explanation:
Given : The Bigtown football team outscored its opponents 5:2 last season.
Let x be the points scored by Bigtown.
The opponents scored 38 points.
Then, we have the following equation :-
[tex]\dfrac{x}{38}=\dfrac{5}{2}\\\\\Rightarrow\ x=\dfrac{5\times38}{2}\\\\\Rightarrow\ x=\dfrac{5\times38}{2}=95[/tex]
Hence, Bigtown scored 95 points.