EXPLANATION
As Megan scored 117 points by collecting 3 coins, we need to divide the points by the number of coins and apply the unitary method in order to get the number of points that Megan will get.
[tex]\text{?points =}\frac{117\text{ points}}{3\text{ coins}}\cdot12\text{ coins=468 points}[/tex]In conclusion, Megan will score 468 points.