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