I may know the game you're talking about, but I haven't been able to find it either. I knew it under the name "Calculated Risk", and you start out going to the Egyptian stores having to pick up food, weapons, ammo, and other supplies, and you had to HAGGLE for the best prices (Note, I remember if you keep lowballing the shopkeeper, you're banned from the store and the shopkeeper says "GET OUT! And may the sun bleach your bones!". Then, after you finish that part of things, you go into the pyramid where you fight monsters and mummies and other raiders and you can pick up treasures and weapons (best weapon was a sword to run the monsters through. Killing raiders especially netted you other food and supplies.
You could starve to death or die of thirst there if you didn't calculate your proper supply needs, and between every major "Level", you had to answer a math problem to the Sphinx guardian. If you died either brutally or you died from hunger or thirst, the "death sequence" was your character looking dead and turning multicolored to the beat of some funeral dirge music. For an Apple II game, it was very well done. I just have never to this day found it either under the "Calculated Risk "name or any other (Pyramids of Egypt I don't think is it, but I may be mistaken).