A + 1 diamond = 8 diamonds
A + B = 9 diamonds
B + C = A + 8 diamonds
- A = _____ diamonds
- B = _____ diamonds
- C = _____ diamonds
A + 1 diamond = 8 diamonds --- (1)
A + B = 9 diamonds --- (2)
B + C = A + 8 diamonds --- (3)
(a)
From (1)
A + 1 diamond = 8 diamonds
A = 8 diamonds - 1 diamond
A = 7 diamonds
(b)
Substitute A = 7 diamonds into (2).
A + B = 9 diamonds
7 diamonds + B = 9 diamonds
B = 9 diamonds - 7 diamonds
B = 2 diamonds
(c)
Substitute A = 7 diamonds and B = 2 diamonds into (3).
B + C = A + 8 diamonds
2 diamonds + C = 7 diamonds + 8 diamonds
2 diamonds + C = 15 diamonds
C = 15 diamonds - 2 diamonds
C = 13 diamonds
Answer(s): (a) 7; (b) 2; (c) 13