Question

convert the total energy needed to convert 20g of ice at -100c to 60c

Answer 1

q1 = heat needed to convert ice @ -100 C to zero C.

q1 = mass ice x specific heat ice x (Tfinal-Tinitial). Tf will be zero and Ti will be -100.
q2 = heat needed @ zero C to melt the ice.
q2 = mass ice x heat fusion of water.
q3 = heat need to increase T of liquid water from zero C to 60 C.
q3 = mass water x specific heat water x (Tfinal-Tinitial). T final = 60 and Ti = 0 C.
Qtotal = q1 + q2 + q3 Post your work if you get stuck.
NOTE: Be careful with those numbers you use to make sure the units are consistent.