Let he amount of what Jim has be #color(green)x#

Carmen has #7# less than Jim so he has #color(green)xcolor(red)(-7)#

Tom has #3# times what Jim has so he has #color(blue)3color(green)x#

The total is #73# so,

#x+(x-7)+3x=73#

#x+x-7+3x=73#

Add like terms (#x# terms together)

#5x-7=73#

Add #7# to both sides

#5xcancel(-7+7)=73+7#

#5x=80#

Divide both sides by #5#

#x=16#,

Now Jim has #x# so he has #color(magenta)16#

Carmen has #7# less than Jim so he has #16-7# which is #color(magenta)9#

Tom has #3# times Jim so he has #3(16)# which is #color(magenta)48#.

To check your answer add those values together, they must sum up to #73#

#color(magenta)48+color(magenta)9+color(magenta)16=73#, so the answer is correct