Math Problem Statement

Study the pattern in each diagram and fill in the blanks for the values of A, B, C, and D in the given diagrams.

Solution

Let's analyze the given diagrams step by step.


(a) Diagram:

  1. Relationships provided:

    • A+200=3000A + 200 = 3000
    • A+500=7500A + 500 = 7500
    • B÷100=6000B \div 100 = 6000
    • B÷400=3000B \div 400 = 3000
  2. Finding AA:

    • From A+200=3000A + 200 = 3000,
      A=3000200=2800A = 3000 - 200 = 2800.
    • From A+500=7500A + 500 = 7500,
      A=7500500=7000A = 7500 - 500 = 7000.

    Conclusion: AA seems to be 2800, as it satisfies the first condition.

  3. Finding BB:

    • From B÷100=6000B \div 100 = 6000,
      B=6000×100=600000B = 6000 \times 100 = 600000.
    • From B÷400=3000B \div 400 = 3000,
      B=3000×400=1200000B = 3000 \times 400 = 1200000.

    Conclusion: There's a conflict. Check whether the pattern suggests two different values.


(b) Diagram:

  1. Relationships provided:

    • C÷200=26200C \div 200 = 26200
    • C÷300=39300C \div 300 = 39300
    • D÷200=13100D \div 200 = 13100
  2. Finding CC:

    • From C÷200=26200C \div 200 = 26200,
      C=26200×200=5240000C = 26200 \times 200 = 5240000.
    • From C÷300=39300C \div 300 = 39300,
      C=39300×300=11790000C = 39300 \times 300 = 11790000.
  3. Finding DD:

    • From D÷200=13100D \div 200 = 13100,
      D=13100×200=2620000D = 13100 \times 200 = 2620000.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Equations

Formulas

Addition and Subtraction
Multiplication and Division

Theorems

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Suitable Grade Level

Grade 5-6