A + 5 diamond = 10 diamonds
A + B = 9 diamonds
B + C = A + 6 diamonds
- A = _____ diamonds
- B = _____ diamonds
- C = _____ diamonds
A + 5 diamond = 10 diamonds --- (1)
A + B = 9 diamonds --- (2)
B + C = A + 6 diamonds --- (3)
(a)
From (1)
A + 5 diamond = 10 diamonds
A = 10 diamonds - 5 diamond
A = 5 diamonds
(b)
Substitute A = 5 diamonds into (2).
A + B = 9 diamonds
5 diamonds + B = 9 diamonds
B = 9 diamonds - 5 diamonds
B = 4 diamonds
(c)
Substitute A = 5 diamonds and B = 4 diamonds into (3).
B + C = A + 6 diamonds
4 diamonds + C = 5 diamonds + 6 diamonds
4 diamonds + C = 11 diamonds
C = 11 diamonds - 4 diamonds
C = 7 diamonds
Answer(s): (a) 5; (b) 4; (c) 7