A + 1 diamond = 6 diamonds
A + B = 10 diamonds
B + C = A + 3 diamonds
- A = _____ diamonds
- B = _____ diamonds
- C = _____ diamonds
A + 1 diamond = 6 diamonds --- (1)
A + B = 10 diamonds --- (2)
B + C = A + 3 diamonds --- (3)
(a)
From (1)
A + 1 diamond = 6 diamonds
A = 6 diamonds - 1 diamond
A = 5 diamonds
(b)
Substitute A = 5 diamonds into (2).
A + B = 10 diamonds
5 diamonds + B = 10 diamonds
B = 10 diamonds - 5 diamonds
B = 5 diamonds
(c)
Substitute A = 5 diamonds and B = 5 diamonds into (3).
B + C = A + 3 diamonds
5 diamonds + C = 5 diamonds + 3 diamonds
5 diamonds + C = 8 diamonds
C = 8 diamonds - 5 diamonds
C = 3 diamonds
Answer(s): (a) 5; (b) 5; (c) 3