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

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== Problem 1 ==
 
== Problem 1 ==
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A cell phone plan costs <math>0.36;</math>20<math> each month, plus </math>5<math>¢ per text message sent, plus </math>10<math>¢ for each minute used over </math>30<math> hours. In January Michelle sent </math>100<math> text messages and talked for </math>30.5<math> hours. How much did she have to pay?
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A cell phone plan costs <cmath>0.36</cmath>20<math> each month, plus </math>5<math>¢ per text message sent, plus </math>10<math>¢ for each minute used over </math>30<math> hours. In January Michelle sent </math>100<math> text messages and talked for </math>30.5<math> hours. How much did she have to pay?
  
 
</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>
  
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</math><math>== Solution ==
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== 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>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}}$
  
 
== 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 17:13, 18 February 2013

Problem 1

A cell phone plan costs \[0.36\]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)}\ $$ (Error compiling LaTeX. Unknown error_msg)24.00 \qquad\textbf{(B)}\ $$ (Error compiling LaTeX. Unknown error_msg)24.50 \qquad\textbf{(C)}\ $$ (Error compiling LaTeX. Unknown error_msg)25.50\qquad\textbf{(D)}\ $$ (Error compiling LaTeX. Unknown error_msg)28.00\qquad\textbf{(E)}\ $$ (Error compiling LaTeX. Unknown error_msg)30.00 $== 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 (Problems • Answer Key • Resources)
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First Question 		Followed by
Problem 2
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All AMC 10 Problems and Solutions
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