Difference between revisions of "2011 AMC 12A Problems/Problem 1"
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== Solution == | == Solution == | ||
| − | The base price of Michelle's cell phone plan is 20 | + | 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 spent 500 cents for texting, or 5 | + | If she sent 100 text messages, and it costs 5 cents per text, then she 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. |
| − | 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. | 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 3 | + | 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 20 | + | Adding <dollar/>20+<dollar/>5+<dollar/>3=<dollar/>28=<math>\boxed{\textbf{(D)}}</math>. |
== See also == | == See also == | ||
{{AMC12 box|year=2011|before=First Problem|num-a=2|ab=A}} | {{AMC12 box|year=2011|before=First Problem|num-a=2|ab=A}} | ||
Revision as of 20:21, 9 February 2011
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 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 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
