Conditional equations may be boring and confusing, but not so much, when they are represented with our favorite computer game, for this cool math game it is StarCraft 1 :) Here are the tasks and how to solve them:
5 Hydralisks are attacking a Terran command center. Hydralisks shots make 11 damage each and the command center has 1500 hit points. How many times each Hydralisk have to shoot to destroy the command center?
Answer: Multiply the Hydralisks damage 5x11 = 55. Divide the hit points of the CC to the damage 1500/55 =27.27. But if all Hydralisks shoot 27 times the overall damage will be 1485, So at least one Hydralisks must shoot 28 times, which is the correct answer.
7 Dragoons are attacking a Zerg Hive. Dragoon shots make 21 damage per second and the Hive has 2500 hit points. For how many seconds the Hive will fall? Answer: All dragoons make 147 damage per second 7x21. Divide the hit points of the Hive 2500 to 147 to find how many seconds it takes to destroy the Hive = 17.
3 Siege Tanks are attacking a Protoss Nexus. Siege Tanks shots make 32 damage per 2 seconds and the Protoss shields regenerates with 2 points per second. For how many seconds the Nexus will fall?
Answer: First we will find for how long the Nexus will stay without shield regeneration with standard equation, 3x32=96. 750+750=1500 all structure of the Nexus. 1500/96=15.6 rounded 16. For 16 seconds the Nexus regenerats 32 hit points, so at least one siege tank must fire again on the next second, thus the Nexus will fall in 17 seconds.