Difference between revisions of "2011 AMC 10A Problems/Problem 1"

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(Solution)
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<math> \textbf{(A)}\ </math> <math>24.00 \qquad\textbf{(B)}\ </math> <math>24.50 \qquad\textbf{(C)}\ </math> <math>25.50\qquad\textbf{(D)}\ </math> <math>28.00\qquad\textbf{(E)}\ </math> <math>30.00 </math>
 
<math> \textbf{(A)}\ </math> <math>24.00 \qquad\textbf{(B)}\ </math> <math>24.50 \qquad\textbf{(C)}\ </math> <math>25.50\qquad\textbf{(D)}\ </math> <math>28.00\qquad\textbf{(E)}\ </math> <math>30.00 </math>
  
== Solution ==
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<math></math>== Solution ==
 
<math>30.5-30 = .5</math> hours which is <math>30</math> minutes. <math>30*10=300</math> cents which is <math>3</math> dollars. <math>100*.05=5</math> dollars. So finally <math>20+3+5=28</math> dollars. <math>\longrightarrow \boxed{\textbf{D}}</math>
 
<math>30.5-30 = .5</math> hours which is <math>30</math> minutes. <math>30*10=300</math> cents which is <math>3</math> dollars. <math>100*.05=5</math> dollars. So finally <math>20+3+5=28</math> dollars. <math>\longrightarrow \boxed{\textbf{D}}</math>
  
 
== See Also ==
 
== See Also ==
 
{{AMC10 box|year=2011|ab=A|before=First Question|num-a=2}}
 
{{AMC10 box|year=2011|ab=A|before=First Question|num-a=2}}

Revision as of 18:44, 3 February 2013

Problem 1

A cell phone plan costs $$$20$ each month, plus $5$¢ per text message sent, plus $10$¢ for each minute used over $30$ hours. In January Michelle sent $100$ text messages and talked for $30.5$ hours. How much did she have to pay?

$\textbf{(A)}$ $24.00 \qquad\textbf{(B)}$ $24.50 \qquad\textbf{(C)}$ $25.50\qquad\textbf{(D)}$ $28.00\qquad\textbf{(E)}$ $30.00$

$$ (Error compiling LaTeX. Unknown error_msg)== Solution == $30.5-30 = .5$ hours which is $30$ minutes. $30*10=300$ cents which is $3$ dollars. $100*.05=5$ dollars. So finally $20+3+5=28$ dollars. $\longrightarrow \boxed{\textbf{D}}$

See Also

2011 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
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All AMC 10 Problems and Solutions