During a girl's basketball season, Rachel scored $420$ points from free throws, $2-$pointers and $3-$pointers.

Her father reflected on the season that she made $8$ times as many $2-$pointers as $3-$pointers and twice as many free throws as $3-$pointers during the game.

How many of each did she make?

Rachel made $$ free throws, $2-$pointers, and $3-$pointers.