A + 3 triangle = 6 triangles
A + B = 4 triangles
B + C = A + 9 triangles
- A = _____ triangles
- B = _____ triangles
- C = _____ triangles
A + 3 triangle = 6 triangles --- (1)
A + B = 4 triangles --- (2)
B + C = A + 9 triangles --- (3)
(a)
From (1)
A + 3 triangle = 6 triangles
A = 6 triangles - 3 triangle
A = 3 triangles
(b)
Substitute A = 3 triangles into (2).
A + B = 4 triangles
3 triangles + B = 4 triangles
B = 4 triangles - 3 triangles
B = 1 triangles
(c)
Substitute A = 3 triangles and B = 1 triangles into (3).
B + C = A + 9 triangles
1 triangles + C = 3 triangles + 9 triangles
1 triangles + C = 12 triangles
C = 12 triangles - 1 triangles
C = 11 triangles
Answer(s): (a) 3; (b) 1; (c) 11