I’m pretty sure I figured out where my math went wrong after thinking about the question for a few seconds. The whole idea was NOT to think though, but to answer quickly. Which I did. And was obviously trapped like a lot of other people who answered quickly.
This isn’t a math problem, it’s an ambiguity of English problem.
If I pay 10 cents for a soda (and where can you get a deal like that?), then I pay a dollar more for a hot dog, I pay $1.10 for a hot dog and a soda, and the hot dog cost $1.
OR attending Harvard, Princeton, and MIT is not really correlated with intelligence.
Just sayin’, not enough data here to support your conclusion.
Oh, and possibly both: maybe getting the question right is unrelated to intelligence, AND counter to stereotype those schools have as many idiots as geniuses in attendance.
Thing is, “answer quickly” isn’t the same thing as “give your first answer.” If that’s what you wanted, then, sure, I would have went with $0.10. But it only took me 5 seconds to get to the real answer. Does that count as “quickly”?
(My thought process: $0.10; wait, that’s too high; let’s see if half is more or less; oh, wait, that’s the correct answer. Sweet.)
This is all assuming a simple additive pricing model.
Actually, the hotdog can cost anywhere from $1.05 to $1.10 and the soda anywhere from 5 to 10 cents. The problem doesn’t say that there is no discount for buying a hot dog and soda together, which is very common practice.
I’m not entirely sure they can actually conclude this. How are they asking people about their biases? Knowing that a textbook says I will do X doesn’t make me less likely to do X, as the information hasn’t been thoroughly integrated into my normal thought processes. It’s just a bit of trivia.
I’m also curious how they present this test in such a way that smart people wouldn’t also be looking for a trick, and thus be on their guard. The real problem is this showing up in real life, when most people are not inherently aware of their own biases. It takes a lot of training to not trust even your own thinking, and, even then, are the rewards worth it? Those shortcuts exist for a reason–they help us make quick decisions when time matters.
“How much is the soda?” What does this even mean? How much volume, how much mass, how much cost?
If you are referring to the price, phrase it as “what is the price of the soda given the prior stipulations and assuming no discount for buying the two together.”