A + 3 triangle = 9 triangles
A + B = 9 triangles
B + C = A + 9 triangles
- A = _____ triangles
- B = _____ triangles
- C = _____ triangles
A + 3 triangle = 9 triangles --- (1)
A + B = 9 triangles --- (2)
B + C = A + 9 triangles --- (3)
(a)
From (1)
A + 3 triangle = 9 triangles
A = 9 triangles - 3 triangle
A = 6 triangles
(b)
Substitute A = 6 triangles into (2).
A + B = 9 triangles
6 triangles + B = 9 triangles
B = 9 triangles - 6 triangles
B = 3 triangles
(c)
Substitute A = 6 triangles and B = 3 triangles into (3).
B + C = A + 9 triangles
3 triangles + C = 6 triangles + 9 triangles
3 triangles + C = 15 triangles
C = 15 triangles - 3 triangles
C = 12 triangles
Answer(s): (a) 6; (b) 3; (c) 12