No Sense (Cents) in Messing With the Hot Dog Man

Topic: Number Theory
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One lovely day, two kids set out on an adventure to try to rid of their ridiculous amount of nickels. It just so happens that an apathetic hot dog vendor is trying to sell a $1 hot dog nearby. She is irritated by their airheadedness and restricts the number of coins they can pay to 36 coins. After much fretting and seemingly genius (not) guesses, a wise old granny comes by and shows them a spiffy way to solve the problem! Little does the hot dog vendor know she's in for a surprise...

Team: Mudville.
Midvale Middle School, Utah.

Thanks for watching! Enjoy!!

Common Core Standards: SMP
Problem #: 
187 (2012-2013)
Problem Difficulty Level: 3 [?]