Sneaky snakes

Discrete Mathematics Level 3

At a recent reptile exhibit at the zoo, snakes and iguanas were on display. Calvin went to the exhibit and counted the number of legs and heads of all the reptiles in the exhibit and all the people visiting the exhibit (including himself). He counted a total of 103 heads and 200 legs. How many different possibilities are there for the number of snakes that could have been in the exhibit?

Details and assumptions

An iguana has 4 legs and 1 head. A snake has 0 legs and 1 head. A person has 2 legs and 1 head.

There is at least 1 snake and 1 iguana in the exhibit. Remember that Calvin is also a person.


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