Shape Equation Puzzle 1:
Let's solve the shape equation puzzles using the given clues:
Clue 1: 2(Triangle) - 1 = 5
Let's solve this equation for Triangle (T):
2T - 1 = 5
Adding 1 to both sides: 2T = 6
Dividing both sides by 2: T = 3
Therefore, Triangle equals 3.
Clue 2: Triangle + Square = 1
Let's solve this equation for Square (S):
3 + S = 1
Subtracting 3 from both sides: S = -2
Therefore, Square equals -2.
Clue 3: Triangle - 2(Square) = Star
Substituting the values we found for Triangle and Square:
3 - 2(-2) = Star
Simplifying: 3 + 4 = Star
Star = 7
Therefore, Star equals 7.
Triangle (T) = 3
Square (S) = -2
Star = 7
Shape Equation Puzzle 2:
Let's solve the shape equation puzzles using the given clues:
Clue 1: Diamond + 2 = 5(Circle)
Let's solve this equation for Diamond (D):
Diamond + 2 = 5 * Circle
Clue 2: 3(Circle) = 12
Let's solve this equation for Circle (C):
3 * Circle = 12
Dividing both sides by 3: Circle = 4
Clue 3: 2(Circle) = Diamond + 2 (Right Triangle)
Substituting the value we found for Circle:
2 * 4 = Diamond + 2
8 = Diamond + 2
Subtracting 2 from both sides: Diamond = 6
Therefore, Diamond equals 6.
#2nd part of Clue 3:
Clue 3: 2(Circle) = Diamond + 2 (Right Triangle)
We have determined that Diamond (D) is equal to 6 and Circle (C) is equal to 4.
Substituting these values into Clue 3:
2(4) = 6 + 2
8 = 8
This equation is true, indicating that the right triangle has a value of 8.
Diamond (D) = 6
Circle (C) = 4
Right triangle = 8