Difference between revisions of "2004 AMC 12A Problems/Problem 1"

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{{duplicate|[[2004 AMC 12A Problems|2004 AMC 12A #1]] and [[2004 AMC 10A Problems/Problem 3|2004 AMC 10A #3]]}}
 
{{duplicate|[[2004 AMC 12A Problems|2004 AMC 12A #1]] and [[2004 AMC 10A Problems/Problem 3|2004 AMC 10A #3]]}}
  
==Video Solution==
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== Problem ==
https://youtu.be/06TIuTrUHls
 
 
 
Education, the Study of Everything
 
 
 
 
 
==Problem==
 
 
Alicia earns 20 dollars per hour, of which <math>1.45\%</math> is deducted to pay local taxes.  How many cents per hour of Alicia's wages are used to pay local taxes?
 
Alicia earns 20 dollars per hour, of which <math>1.45\%</math> is deducted to pay local taxes.  How many cents per hour of Alicia's wages are used to pay local taxes?
  
 
<math> \mathrm{(A) \ } 0.0029 \qquad \mathrm{(B) \ } 0.029 \qquad \mathrm{(C) \ } 0.29 \qquad \mathrm{(D) \ } 2.9 \qquad \mathrm{(E) \ } 29 </math>
 
<math> \mathrm{(A) \ } 0.0029 \qquad \mathrm{(B) \ } 0.029 \qquad \mathrm{(C) \ } 0.29 \qquad \mathrm{(D) \ } 2.9 \qquad \mathrm{(E) \ } 29 </math>
  
==Solution==
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== Solution ==
 
<math>20</math> dollars is the same as <math>2000</math> cents, and <math>1.45\%</math> of <math>2000</math> is <math>0.0145\times2000=29</math> cents. <math>\Rightarrow\boxed{\mathrm{(E)}\ 29}</math>.
 
<math>20</math> dollars is the same as <math>2000</math> cents, and <math>1.45\%</math> of <math>2000</math> is <math>0.0145\times2000=29</math> cents. <math>\Rightarrow\boxed{\mathrm{(E)}\ 29}</math>.
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== Video Solution ==
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https://youtu.be/06TIuTrUHls
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Education, the Study of Everything
  
 
== See also ==
 
== See also ==

Latest revision as of 12:54, 19 January 2021

The following problem is from both the 2004 AMC 12A #1 and 2004 AMC 10A #3, so both problems redirect to this page.

Problem

Alicia earns 20 dollars per hour, of which $1.45\%$ is deducted to pay local taxes. How many cents per hour of Alicia's wages are used to pay local taxes?

$\mathrm{(A) \ } 0.0029 \qquad \mathrm{(B) \ } 0.029 \qquad \mathrm{(C) \ } 0.29 \qquad \mathrm{(D) \ } 2.9 \qquad \mathrm{(E) \ } 29$

Solution

$20$ dollars is the same as $2000$ cents, and $1.45\%$ of $2000$ is $0.0145\times2000=29$ cents. $\Rightarrow\boxed{\mathrm{(E)}\ 29}$.

Video Solution

https://youtu.be/06TIuTrUHls

Education, the Study of Everything

See also

2004 AMC 12A (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 AMC 12 Problems and Solutions
2004 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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 AMC 10 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

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