Friday, March 11, 2011

Chapter 4: Algebra Puzzle

3x3:

Let y be car, p be ice cream and q be umbrella.
• 3y=18
y=18/3
y=6
• 2y+p=21
(2x6)+p=21
12+p=21
21-12=p
p=9
• 2p+q=19
(2x9)+q=19
18+q=19
19-18=q
q=1
Therefore, each car represents 6, each ice cream represents 9 and each umbrella represents 1.

3x4:
Let y be the ladybug, p the gear and q the apple.
• 3y+p=93
2y+p=72
• (3y+p)-(2y=p)=y
93-72=21
y=21
• 2y+p=72
21x2+p=72
42+p=72
72-42+p
p=30
• 2y+q=55
42+q=55
55-42=q
q=13
Therefore, the ladybug represents 21, the gear represents 30 and the apple represents 13.

No comments:

Post a Comment