The weight of each square is 3/2g.
The hanger will not be in balance and will shift to the left side because it has more weight.
What is the weight of each square?
If a triangle weighs 1 g
Let
x = weight of square
3x + 2 = x + 5
combine like terms
3x - x = 5 - 2
2x = 3
x = 3/2g
If Elena takes two triangles off of the left side and 3 triangles off of the right side
3x = x + 2
substitute the value of x
3(3/2) = 3/2 + 2
9/2 = 3+4/2
9/2 = 7/2
Therefore, the hanger will not be in balance and will shift to the left side.