Question

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?

$\$24.00$

$\$24.50$

$\$25.50$

$\$28.00$

$\$30.00$

Answer: D

Concepts:money unit conversion

Difficulty rating: 720

Solution:

Michelle has to pay $\$20$ for the monthly fee. She also has to pay $100 \cdot 5 \text{ cents} = 500 \text{ cents} = \$5$ for the text messages. Finally she talked for $.5$ hours, $30$ minutes, over $30$ hours.

This means she has to pay an extra $30 \cdot 10 \text{ cents} = 300 \text{ cents} = \$3.$

Her total cost is $\$20 + \$5 + \$3 = \$28.$

Thus, D is the correct answer.

2011 AMC 10A Problem 1

Answer: D

Difficulty rating: 720

Solution:

Problem 1 in Other Years