A + 2 diamond = 9 diamonds
A + B = 8 diamonds
B + C = A + 7 diamonds
- A = _____ diamonds
- B = _____ diamonds
- C = _____ diamonds
A + 2 diamond = 9 diamonds --- (1)
A + B = 8 diamonds --- (2)
B + C = A + 7 diamonds --- (3)
(a)
From (1)
A + 2 diamond = 9 diamonds
A = 9 diamonds - 2 diamond
A = 7 diamonds
(b)
Substitute A = 7 diamonds into (2).
A + B = 8 diamonds
7 diamonds + B = 8 diamonds
B = 8 diamonds - 7 diamonds
B = 1 diamonds
(c)
Substitute A = 7 diamonds and B = 1 diamonds into (3).
B + C = A + 7 diamonds
1 diamonds + C = 7 diamonds + 7 diamonds
1 diamonds + C = 14 diamonds
C = 14 diamonds - 1 diamonds
C = 13 diamonds
Answer(s): (a) 7; (b) 1; (c) 13