I have an argument like that in my calculus 1 class in college, it was an optimization problem but the professor never said that the optimization variable was a constant, so you couldn't differentiate it to zero and do the normal process that you typically do. So I just wrote that given that the perimeter wasn't a constant the area to optimize goes to infinite Givin x -> inf; y -> 0, without loss of generality. He marked me zero we discussed about it and I said that I don't care because I'm going to get a 10 next test if he didn't fucked up the question. At the next exam I made some stupid error but he still gave 9/10 for the overall class because he came to accept that he wrote the question wrong and I was the only in the class actually caring and giving the class some dedication.

If I ate 1/4 of my pizza and my gf ate 1/1 of her pizza, but the hidden context is mine is from Costco and hers is from mod, who ate more pizza

This post shows the difference between school and education. The school system is there to get a child to be able to regurgitate whatever the lesson says they should. Education is to develop knowledge as a whole.

It is sad that the teacher was not even able to consider the flawed nature of the question, because they are trained to just see if the student's answer matches the answer key for the test.

In many cases, the public education system no longer exists to deliver educated graduates. It exists to feed itself -- to obtain funding for itself the next year and to support a gradually expanding set of "administrators" that add little to the process.

Look at the effects of "No Child Left Behind". NCLB pushed test scores above all else. What did we get? A bunch of students that were very good at passing standardized tests. That does not necessarily translate to a better educational outcome. The value in the skill of passing standardized tests plummets rapidly once one joins the workforce.

Your fault for not listing the size and list of toppings for both pizzas, one could be a small personal pizza size with just cheese and pepperoni and the other a full huge New Yorker sized one with double of everything.

it's fairly clear there are two pizzas, but as to 'how' someone eats more than someone else... this is not really a simple math question, there are too many unknown variables. Maybe one has Bulemia, maybe one of them is 6'9" and has a much bigger appetite. Maybe one of the people has a congenital deformity resulting in two mouths... This question is not a math question, it's an exercise in creativity.