Difference between revisions of "2005 AMC 8 Problems/Problem 1"

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==Problem==
 
==Problem==
Connie multiplies a number by 2 and gets 60 as her answer. However, she should
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Connie multiplies a number by <math>2</math> and gets <math>60</math> as her answer. However, she should have divided the number by <math>2</math> to get the correct answer. What is the correct answer?
have divided the number by 2 to get the correct answer. What is the correct
 
answer?
 
  
 
<math> \textbf{(A)}\ 7.5\qquad\textbf{(B)}\ 15\qquad\textbf{(C)}\ 30\qquad\textbf{(D)}\ 120\qquad\textbf{(E)}\ 240 </math>
 
<math> \textbf{(A)}\ 7.5\qquad\textbf{(B)}\ 15\qquad\textbf{(C)}\ 30\qquad\textbf{(D)}\ 120\qquad\textbf{(E)}\ 240 </math>
  
 
==Solution==
 
==Solution==
If <math>x</math> is the number, then <math>2x=60</math> and <math>x=30</math>. Diving the number by <math>2</math> yields <math>30/2 = \boxed{\textbf{(B)}\ 15}</math>.
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If <math>x</math> is the number, then <math>2x=60</math> and <math>x=30</math>. Dividing the number by <math>2</math> yields <math>\dfrac{30}{2} = \boxed{\textbf{(B)}\ 15}</math>.
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2005|before=First <br/> Question|num-a=2}}
 
{{AMC8 box|year=2005|before=First <br/> Question|num-a=2}}
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{{MAA Notice}}

Revision as of 22:06, 11 February 2020

Problem

Connie multiplies a number by $2$ and gets $60$ as her answer. However, she should have divided the number by $2$ to get the correct answer. What is the correct answer?

$\textbf{(A)}\ 7.5\qquad\textbf{(B)}\ 15\qquad\textbf{(C)}\ 30\qquad\textbf{(D)}\ 120\qquad\textbf{(E)}\ 240$

Solution

If $x$ is the number, then $2x=60$ and $x=30$. Dividing the number by $2$ yields $\dfrac{30}{2} = \boxed{\textbf{(B)}\ 15}$.

See Also

2005 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First
Question
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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