Difference between revisions of "2010 AMC 12B Problems/Problem 1"

(Created page with '== Problem 1 == Makarla attended two meetings during her <math>9</math>-hour work day. The first meeting took <math>45</math> minutes and the second meeting took twice as long. W…')
 
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The total number of minutes in here <math>9</math>-hour work day is <math>9 \times 60 = 540</math>.
 
The total number of minutes in here <math>9</math>-hour work day is <math>9 \times 60 = 540</math>.
 
The total amount of time spend in meetings in minutes is <math>45 + 45 \times 2 = 135</math>.
 
The total amount of time spend in meetings in minutes is <math>45 + 45 \times 2 = 135</math>.
The answer is then <math>\displaystyle \frac{135}{540} = .25</math> <math>\LongRightArrow</math> <math>(C)</math>
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The answer is then <math>\frac{135}{540} = .25</math> <math>\LongRightArrow</math> <math>(C)</math>
  
 
== See also ==
 
== See also ==
{{AMC12 box|year=2010|num-b=12|num-a=14|ab=B}}
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{{AMC12 box|year=2010|num-b=1|num-a=2|ab=B}}

Revision as of 16:24, 12 July 2010

Problem 1

Makarla attended two meetings during her $9$-hour work day. The first meeting took $45$ minutes and the second meeting took twice as long. What percent of her work day was spent attending meetings?

$\textbf{(A)}\ 15 \qquad \textbf{(B)}\ 20 \qquad \textbf{(C)}\ 25 \qquad \textbf{(D)}\ 30 \qquad \textbf{(E)}\ 35$

Solution

The total number of minutes in here $9$-hour work day is $9 \times 60 = 540$. The total amount of time spend in meetings in minutes is $45 + 45 \times 2 = 135$. The answer is then $\frac{135}{540} = .25$ $\LongRightArrow$ (Error compiling LaTeX. Unknown error_msg) $(C)$

See also

2010 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 2
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All AMC 12 Problems and Solutions