Tuesday, August 2, 2011

Chap 6: Algebra Puzzle - Solving Equations (Preview) : MY answers !!

  
My Solution ( Method 1) 
  • 3 pumpkins = 24 ,
  • Therefore , 1 pumpkin will represent 8 . ( 24/3 = 8) 

2 umbrellas + 1 pumpkin = 12 
  • Since 1 pumpkin represents 8,
  • 12-8=4 -> (2 umbrellas + 1 pumpkin) - 1 pumpkin = 2 umbrellas
  • 2 umbrellas represents 4. 
  • Therefore , 1 umbrella represents 2 . ( 4/2 = 2)
2 starfishes + 1 pumpkin = 20
  • Since 1 pumpkin represents 8 ,
  • 20-8=12 -> (2 starfishes + 1 pumpkin) - 1 pumpkin = 2 starfishes 
  • 2 starfishes represents 12
  • Therefore 1 starfish represent 6. ( 12/2 = 6)
My Solution ( Method 2)

Let p represents pumpkin
Let u represents umbrella
Let s represents starfish
  • 3p = 24 
  •   p = 24/3 
  • Therefore, p = 8
  • Since 2p+u = 18 
  • 2(8)+u = 18 
  • 16+u = 18 
  • u = 18-16 
  • Therefore , u = 2
  • Since p+2s = 20 
  • 8+2s = 20
  •     2s = 20-8 
  •     2s = 12 
  •       s = 12/2 
  • Therefore, s = 6
In conclusion , each pumpkin represents 8, each umbrella represents 2 and each starfish represents 6.









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