Difference between revisions of "2025 AMC 8 Problems/Problem 2"

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==Problem==
 
==Problem==
 
The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.
 
The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.
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                                                                      [[File:mathh.PNG]]
  
 
For example, the number <math>32</math> was represented by the hieroglyphs <math>\cap \cap \cap ||</math>. What number is represented by the following combination of hieroglyphs?
 
For example, the number <math>32</math> was represented by the hieroglyphs <math>\cap \cap \cap ||</math>. What number is represented by the following combination of hieroglyphs?
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                                                                                    [[File:Amc8 2025 prob 2 pic.PNG]]
  
 
<math>\textbf{(A)}\ 1,423 \qquad \textbf{(B)}\ 10,423 \qquad \textbf{(C)}\ 14,023 \qquad \textbf{(D)}\ 14,203 \qquad \textbf{(E)}\ 14,230</math>
 
<math>\textbf{(A)}\ 1,423 \qquad \textbf{(B)}\ 10,423 \qquad \textbf{(C)}\ 14,023 \qquad \textbf{(D)}\ 14,203 \qquad \textbf{(E)}\ 14,230</math>
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==Solution 1==
 
==Solution 1==
  
The first hieroglyph is worth <math>10,000</math>, the next <math>4</math> are worth <math>100</math> each for <math>400</math>, the next <math>2</math> are worth <math>10</math> each for <math>20</math>, the next <math>3</math> are worth <math>1</math> for <math>3, 10,000 + 400 + 20 + 3 = \boxed{\textbf{(B)}~10,423}</math>
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The first hieroglyph is worth 10,000, the next 4 are worth 100 * 4 = 400, the next 2 are worth 10 * 2 = 20, and the last 3 are worth 1 * 3 = 3. Therefore, the answer is 10,000 + 400 + 20 + 3 = (B) 10,423
  
~ alwaysgonnagiveyouup
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~ Sigmacuber
  
 
==Video Solution by Daily Dose of Math==
 
==Video Solution by Daily Dose of Math==

Latest revision as of 00:11, 31 January 2025

Problem

The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.

                                                                      Mathh.PNG

For example, the number $32$ was represented by the hieroglyphs $\cap \cap \cap ||$. What number is represented by the following combination of hieroglyphs?

                                                                                    Amc8 2025 prob 2 pic.PNG

$\textbf{(A)}\ 1,423 \qquad \textbf{(B)}\ 10,423 \qquad \textbf{(C)}\ 14,023 \qquad \textbf{(D)}\ 14,203 \qquad \textbf{(E)}\ 14,230$

Solution 1

The first hieroglyph is worth 10,000, the next 4 are worth 100 * 4 = 400, the next 2 are worth 10 * 2 = 20, and the last 3 are worth 1 * 3 = 3. Therefore, the answer is 10,000 + 400 + 20 + 3 = (B) 10,423

~ Sigmacuber

Video Solution by Daily Dose of Math

https://youtu.be/rjd0gigUsd0

~Thesmartgreekmathdude

Video Solution by Thinking Feet

https://youtu.be/PKMpTS6b988

See Also

2025 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
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All AJHSME/AMC 8 Problems and Solutions

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