Question

A child's sorting game has 31 shapes. Each piece is either a triangle or a square. The shapes have a total of 111 sides. Build a system of equations that can be used to find how many of each shape is used in the game.

Answer 1

t = triangle
s = square
t + s = 31
3t + 4s = 111
because there are 3 sides of each triangle, and 4 sides of each square