A + 5 rectangle = 8 rectangles
A + B = 10 rectangles
B + C = A + 3 rectangles
- A = _____ rectangles
- B = _____ rectangles
- C = _____ rectangles
A + 5 rectangle = 8 rectangles --- (1)
A + B = 10 rectangles --- (2)
B + C = A + 3 rectangles --- (3)
(a)
From (1)
A + 5 rectangle = 8 rectangles
A = 8 rectangles - 5 rectangle
A = 3 rectangles
(b)
Substitute A = 3 rectangles into (2).
A + B = 10 rectangles
3 rectangles + B = 10 rectangles
B = 10 rectangles - 3 rectangles
B = 7 rectangles
(c)
Substitute A = 3 rectangles and B = 7 rectangles into (3).
B + C = A + 3 rectangles
7 rectangles + C = 3 rectangles + 3 rectangles
7 rectangles + C = 6 rectangles
C = 6 rectangles - 7 rectangles
C = -1 rectangles
Answer(s): (a) 3; (b) 7; (c) -1