2011 AMC 10A Problems/Problem 1

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?

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

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. $\longrightarrow \boxed{\textbf{D}}$

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2011 AMC 10A Problems/Problem 1

Problem 1

Solution