1993 AIME Problem 10

Euler’s formula states that for a convex polyhedron with V vertices, E edges, and F faces, V-E+F=2. A particular convex polyhedron has 32 faces, each of which is either a triangle or a pentagon. At each of its V vertices, T triangular faces and P pentagonal faces meet. What is the value of 100 P+10 T+V?