Question

A set of triangular and square tiles contains 50 pieces and 170 sides. Write a system of equations to represent this situation

Answer 1

Sides of Triangle + Sides of Square = 170

Let Sides of Square be 4x

Let Sides of triangle be 3(50 - x)

3(50 - x) + 4x = 170

If we solve it,

150 - 3x + 4x = 170

x = 170 - 150

x = 20

So number of square tiles = 20

number of triangle tiles = 30

Sides of square = 20 * 4 = 80

Sides of Triangle = 30 * 3 = 90

90 + 80 = 170 Sides

Explanation: