Saturday, March 20, 2010

The 3 x 3 Grid Puzzle(Algebra)


Let a represents apple
Let c represents car
Let p represents pen

3a = 6
a = 6 ÷ 3
a = 2

Therefore, a = 2

a + 2c = 4
3a = 6
2a - 2c = 6 - 4
2a - 2c = 2
a - c = 2 ÷ 2
a - c = 1

Since a is 2, we substitute a with 2 and it will look something like this:

2 - c = 1
2 - 1 = 1

Therefore, c = 1

a + 2p = 34

Since a is 2, we substitute a with 2 again and it will look something like this:

2 + 2p = 34
2p = 34 - 2
2p = 32
p = 32 ÷ 2
p = 16

Therefore, p = 16