2011 AMC 10A Problems

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

Problem 2

A small bottle of shampoo can hold 35 milliliters of shampoo, whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy?

$\textbf{(A)}\ 11 \qquad\textbf{(B)}\ 12 \qquad\textbf{(C)}\ 13\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 15$