Difference between revisions of "2004 AMC 12A Problems/Problem 1"
m (2004 AMC 10A Problems/Problem 3 moved to 2004 AMC 12A Problems/Problem 1: {{duplicate}}) |
m (moved video solution to bottom) |
||
| (4 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
| − | ==Problem== | + | {{duplicate|[[2004 AMC 12A Problems|2004 AMC 12A #1]] and [[2004 AMC 10A Problems/Problem 3|2004 AMC 10A #3]]}} |
| + | |||
| + | == 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== | + | == Solution == |
| − | 20 dollars is the same as 2000 cents, and <math>1.45\%</math> of 2000 is <math>0.0145\times2000=29</math> cents <math>\Rightarrow\mathrm{(E)}</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>. |
| + | |||
| + | == Video Solution == | ||
| + | https://youtu.be/06TIuTrUHls | ||
| + | |||
| + | Education, the Study of Everything | ||
== See also == | == See also == | ||
| + | {{AMC12 box|year=2004|ab=A|before=First question|num-a=2}} | ||
{{AMC10 box|year=2004|ab=A|num-b=2|num-a=4}} | {{AMC10 box|year=2004|ab=A|num-b=2|num-a=4}} | ||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
| + | {{MAA Notice}} | ||
Revision as of 13:54, 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.
Contents
Problem
Alicia earns 20 dollars per hour, of which 
is deducted to pay local taxes. How many cents per hour of Alicia's wages are used to pay local taxes?
Solution
dollars is the same as 
cents, and of is 
cents. 
.
Video Solution
Education, the Study of Everything
See also
| 2004 AMC 12A (Problems • Answer Key • Resources) | |
| 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 (Problems • Answer Key • Resources) | ||
| 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. 
