Friday, 1 March 2013

Chapter 4: Algebra Puzzle

3 x 3 Grid



Solution

- 3 pumpkins = 6
- Therefore, one pumpkin represents two.
- 1 pumpkin + 2 cars = 32
- Since one pumpkin is 2,
- 32 - 2 = 30
- The value of two cars is 30.
- Thus, one car represents 15.
- 1 pumpkin + 2 pens = 20
- Since one pumpkin is 2,
- 20 - 2 = 18
- The value of two pens is 18
- Thus, one pen represents 9.

In conclusion, one pumpkin represents 2, one car represents 15 and one pen represents 9.


3 x 4 Grid

 

Solution

- Since 2 clocks and 2 drums is 54,
- 1 clock and 1 drum = 54 divided by 2
                               = 27
- Since 1 clock and 2 drums is 49,
- 49 - 27 = 22
- One drum represents 22
- Since 1 drum and 2 clocks is 32,
- We also know that 1 drum is 22,
- 32 - 22 = 10
- Thus, one clock would be 10 divided by 2,
- One clock represents 5
- 1 pear and 3 clocks is 44.
- 3 clocks is 5 x 3 = 15.
- 1 pear is 44 - 15 = 29
- Thus, one pear represents 29.

In conclusion, one drum represents 22, one clock represents 5 and one pear represents 29.



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