Please show steps for this - I need it before my test this Friday - Im really desperate!

A firecracker travels straight up at 75.0 m/s and explodes into two pieces. The smaller piece carries one third of the firecracker’s mass and shoots off horizontally at 48.0 m/s west. Determine the speed and direction of the other piece directly after the explosion.

Hint: the other firecraker is twice as heavy. Also, use conservation of energy.