Algebra Puzzle Solution(:

3x4 grid

3x3 grid

My Solution:(3 x 3)

• Let a represent apple.
• Let b represent present box.
• Let c represent gear.
• 3a= 54
• a= 54/3
• Therefore, a = 18
• Since 2a + c = 42
• 2(18) + c = 42
• 36 + c = 42
• c = 42 - 36
• Therefore, c = 6.
• Since 2c + b = 17
• 2(6) + b = 17
• 12 + b = 17
• b = 17 - 12
• Therefore, b = 5

In conclusion, each apple represents 18, each present box represents 5 and each gear represents 6.

My Solution: (3 x 4)

• Let a represent ice cream
• Let b represent drum
• Let c represent toy car
• 3a + b = 74
• 2a + b = 57
• (3a + b) - (2a + b)= 74 - 57
• a = 17
• b= 57 - 2(17)
• b= 57 - 34
• b= 23
• 2a + c = 44
• 2(17) + c = 44
• 34 + c = 44
• c= 44- 34
• c= 10

In conclusion, each ice cream represents 17, each drum represents 23 and each toy car represents 10.