Check Math - A branch of Mathematics focused specifically on solving complex the systems and equations frequently occurring on checks.
Entry level Check Math deals mostly with individual checks, calculating tip, determining who gets the change back (parties of 4 or less). This level is fortunately indirectly taught by other branches of Mathematics within the primary and secondary levels of education.
Advanced Check Math analyzes such complexities as checks for 5+ people, systems for X varying quantities of change needed, calculating tip when a "group fee" is included (an acceptable fee), calculating tip when a "mandatory gratuity/tip" is included (don't give them fucking anything, and tell your waiter/waitress that you would have tipped more had their employer not forced you to tip in the first place).
Unfortunately, due to the level of difficulty of Advanced Check Math, courses are only taught at the highest levels of Mathematical education, and therefore never make it to the public knowledge. Groups rely on shear will power and techniques such as "see what you owe" or "everybody throw in $20" to conquer these mathematical behemoths. Paying for a check in large groups could take upwards of 10 minutes. On the contrary, it's been shown that using the skills acquired from Advanced Check Math can solve problems like these in 2-3 hours. It may be longer than the primitive techniques currently used. But at least it's done right!
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