I'll use lots of ~ and round to the nearest 1/2 qt - that's close enough for me. I'll also ignore MLT dead space and cooling losses, but these could add another 1-2 qts to your sparge water needed.
11 brix. 1.036 go
Your final volume will be ~ 85% of your volume into the boiler.
Your volume into the boiler will be your strike water - 0.12 gal/lb of grain + sparge water.
You strike with 1.25 qts/lb = 12.5 qts. You lose ~ 1.2 gal to grain absorbtion. You've got ~ 7.5 qts left.
Suppose you want 5.5 gals into the fermenter. Then you need to have 6.5 gals (26 qts) into the boil kettle, because you'll lose ~ 1 gal in evaporation.
Now you're ready to figure your sparge water.
Sparge water = volume into kettle - volume out of mash = 26 qts - 7.5 qts = 18.5 qts =~ 4.5 gals