Difference between revisions of "2014 AMC 8 Problems/Problem 1"

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Harry and Terry are each told to calculate 8-(2-5). Harry gets the correct answer. Terry ignores the parentheses and calculates 8-2+5. If Harry's answer is H and Terry's answer is T, what is H-T?
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==Problem==
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Harry and Terry are each told to calculate <math>8-(2+5)</math>. Harry gets the correct answer. Terry ignores the parentheses and calculates <math>8-2+5</math>. If Harry's answer is <math>H</math> and Terry's answer is <math>T</math>, what is <math>H-T</math>?
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<math>\textbf{(A) }-10\qquad\textbf{(B) }-6\qquad\textbf{(C) }0\qquad\textbf{(D) }6\qquad \textbf{(E) }10</math>
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==Solution==
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We have <math>H=8-7=1</math> and <math>T=8-2+5=11</math>. Clearly <math>1-11=-10</math>
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, so our answer is <math>\boxed{\textbf{(A)}-10}</math>.
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==Solution 2==
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We use PEMDAS, 8-(2+5) is the same as 8-7 which is 1, 8-2+5 is the same as 6+5 because 8-2 comes first, and the sum is 11. H-T is 1-11 which is <math>\boxed{\textbf{(A)}-10}</math>.
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==Video Solution (CREATIVE THINKING)==
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https://youtu.be/dljBE3_G85E
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~Education, the Study of Everything
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<math>\textbf{(A) }-10\qquad\textbf{(B) }-6\qquad\textbf{(C) }0\qquad\textbf{(D) }6\qquad \textbf{(E) }10</math>
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==Video Solution==
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https://youtu.be/6TRHPxBveh0
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~savannahsolver
  
 
==See Also==
 
==See Also==
{{AMC8 box|year=2014|num-b=First Problem|num-a=2}}
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{{AMC8 box|year=2014|before=First Problem|num-a=2}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Latest revision as of 00:57, 15 September 2024

Problem

Harry and Terry are each told to calculate $8-(2+5)$. Harry gets the correct answer. Terry ignores the parentheses and calculates $8-2+5$. If Harry's answer is $H$ and Terry's answer is $T$, what is $H-T$?

$\textbf{(A) }-10\qquad\textbf{(B) }-6\qquad\textbf{(C) }0\qquad\textbf{(D) }6\qquad \textbf{(E) }10$

Solution

We have $H=8-7=1$ and $T=8-2+5=11$. Clearly $1-11=-10$ , so our answer is $\boxed{\textbf{(A)}-10}$.



Solution 2

We use PEMDAS, 8-(2+5) is the same as 8-7 which is 1, 8-2+5 is the same as 6+5 because 8-2 comes first, and the sum is 11. H-T is 1-11 which is $\boxed{\textbf{(A)}-10}$.

Video Solution (CREATIVE THINKING)

https://youtu.be/dljBE3_G85E

~Education, the Study of Everything


Video Solution

https://youtu.be/6TRHPxBveh0

~savannahsolver

See Also

2014 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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