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