A + 5 diamond = 8 diamonds
A + B = 9 diamonds
B + C = A + 4 diamonds
- A = _____ diamonds
- B = _____ diamonds
- C = _____ diamonds
A + 5 diamond = 8 diamonds --- (1)
A + B = 9 diamonds --- (2)
B + C = A + 4 diamonds --- (3)
(a)
From (1)
A + 5 diamond = 8 diamonds
A = 8 diamonds - 5 diamond
A = 3 diamonds
(b)
Substitute A = 3 diamonds into (2).
A + B = 9 diamonds
3 diamonds + B = 9 diamonds
B = 9 diamonds - 3 diamonds
B = 6 diamonds
(c)
Substitute A = 3 diamonds and B = 6 diamonds into (3).
B + C = A + 4 diamonds
6 diamonds + C = 3 diamonds + 4 diamonds
6 diamonds + C = 7 diamonds
C = 7 diamonds - 6 diamonds
C = 1 diamonds
Answer(s): (a) 3; (b) 6; (c) 1