Math Problem Statement

Solve the puzzle by completing the mathematical operations and decoding the grid to form a 4-digit code.

Solution

Let's solve the puzzle by first addressing the mathematical problems on the left side and then interpreting the corresponding grid on the right.

Step 1: Solve each question

  • Q1: 61+80-61 + 80 61+80=19-61 + 80 = 19 So, the answer for Q1 is C.19.

  • Q2: 5336-53 - 36 5336=89-53 - 36 = -89 So, the answer for Q2 is D.-89.

  • Q3: 29+(17)29 + (-17) 29+(17)=1229 + (-17) = 12 So, the answer for Q3 is B.12.

  • Q4: 36(15)-36 - (-15) 36+15=21-36 + 15 = -21 So, the answer for Q4 is A.-21.

Step 2: Interpret the grid

The grid on the right assigns a symbol for each answer option (A, B, C, or D) in Q1 through Q4. The symbols are then used to create a code, with each row having a sum (4, 6, 9, and 0).

Key Symbols:

  • Hourglass = A
  • Key = B
  • Brain = C
  • Lock = D

Step 3: Decode the grid

Row for Q1:

  • The answer is C (19).
  • In the first row, C = Brain.

Row for Q2:

  • The answer is D (-89).
  • In the second row, D = Lock.

Row for Q3:

  • The answer is B (12).
  • In the third row, B = Key.

Row for Q4:

  • The answer is A (-21).
  • In the fourth row, A = Hourglass.

Final Code:

Based on the symbols:

  • Q3 (B) = Key
  • Q2 (D) = Lock
  • Q4 (A) = Hourglass
  • Q1 (C) = Brain

So, the final code is: Key, Lock, Hourglass, Brain.

If you have more questions or would like more details, feel free to ask!


Here are five related questions to expand your understanding:

  1. What other strategies could be used to solve similar grid puzzles?
  2. How do different symbol systems affect logical problem-solving?
  3. Could there be multiple valid answers based on the grid layout?
  4. How do positive and negative numbers interact in addition and subtraction problems?
  5. How do symbolic representations help in simplifying complex puzzles?

Tip: Always double-check calculations to ensure accuracy before applying them to a puzzle!

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Math Problem Analysis

Mathematical Concepts

Addition
Subtraction
Negative Numbers
Symbolic Reasoning

Formulas

Basic addition and subtraction with positive and negative integers

Theorems

Properties of negative numbers

Suitable Grade Level

Grades 6-8