The Soccer Thieves

Team: 
4 to the Fourth Power
Topic: Solid Geometry
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While four girls are playing soccer, two mean boys come and steal their soccer ball. If the girls, with the help of the geek, can correctly solve the problem; "A soccer ball is a polyhedron comprised of 12 pentagons and 20 hexagons.
How many vertices does a soccer ball have?" correctly, they get to have their ball back.

Common Core Standards: SMP
Problem #: 
224 (2014-2015)
Problem Difficulty Level: 4 [?]