Saturday, March 19, 2011

Chapter 4: Algebra Puzzle













Solution 1:
3 clocks = 12
Therefore, 1 clock is equal to 4
Since 1 clock is 4
36 - 4 = 32
2 pumpkins is equal to 32
1 pumpkin is 16
2 pumpkins is 32, 1 pen = 37-32
= 5
1 clock = 4 1 pumpkin = 16 1 pen = 5

Solution 2:
Let c represent the clock
Let p represent the pumpkin
Let x represent the pen

3c = 12
c = 12/3
Therefore, c = 4
2p + c = 36
2p = 36 - 4
= 32
p = 32/2
Therefore, p = 16
2p = 32 (as stated above)
x = 37 - 32
= 5
Therefore, x = 5
The final answer is that 1 clock represents 4, 1 pumpkin represents 16 and 1 pen represents 5.