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