2011 AMC 12A Problems/Problem 1
Problem
A cell phone plan costs dollars each month, plus
cents per text message sent, plus
cents for each minute used over
hours. In January Michelle sent
text messages and talked for
hours. How much did she have to pay?
Solution
The base price of Michelle's cell phone plan is <dollar/>20.
If she sent 100 text messages and it costs 5 cents per text, then she must have spent 500 cents for texting, or <dollar/>5. She talked for 30.5 hours, but 30.5-30 will give us the amount of time that she has to pay an additional amount for.
30.5-30=.5 hours=30 minutes.
Since the price for phone calls is 10 cents per minute, the additional amount Michelle has to pay for phone calls is 30*10=300 cents, or <dollar/>3.
Adding <dollar/>20+<dollar/>5+<dollar/>3=<dollar/>28=.
See also
2011 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by First Problem |
Followed by Problem 2 |
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All AMC 12 Problems and Solutions |