2011 AMC 10A Problems/Problem 1

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