A + 1 circle = 7 circles
A + B = 9 circles
B + C = A + 7 circles
- A = _____ circles
- B = _____ circles
- C = _____ circles
A + 1 circle = 7 circles --- (1)
A + B = 9 circles --- (2)
B + C = A + 7 circles --- (3)
(a)
From (1)
A + 1 circle = 7 circles
A = 7 circles - 1 circle
A = 6 circles
(b)
Substitute A = 6 circles into (2).
A + B = 9 circles
6 circles + B = 9 circles
B = 9 circles - 6 circles
B = 3 circles
(c)
Substitute A = 6 circles and B = 3 circles into (3).
B + C = A + 7 circles
3 circles + C = 6 circles + 7 circles
3 circles + C = 13 circles
C = 13 circles - 3 circles
C = 10 circles
Answer(s): (a) 6; (b) 3; (c) 10