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 <math>20</math> dollars. | The base price of Michelle's cell phone plan is <math>20</math> dollars. | ||
− | If she sent <math>100</math> text messages and it costs <math>5</math> cents per text, then she must have spent <math>500</math> cents for texting, or <math>5</math> dollars. She talked for <math>30.5</math> hours, but <math>30.5-30</math> will give us the amount of time | + | If she sent <math>100</math> text messages and it costs <math>5</math> cents per text, then she must have spent <math>500</math> cents for texting, or <math>5</math> dollars. She talked for <math>30.5</math> hours, but <math>30.5-30</math> will give us the amount of time exceeded past 30 hours. |
<math>30.5-30=.5</math> hours <math>=30</math> minutes. | <math>30.5-30=.5</math> hours <math>=30</math> minutes. | ||
Since the price for phone calls is <math>10</math> cents per minute, the additional amount Michelle has to pay for phone calls is <math>30*10=300</math> cents, or <math>3</math> dollars. | Since the price for phone calls is <math>10</math> cents per minute, the additional amount Michelle has to pay for phone calls is <math>30*10=300</math> cents, or <math>3</math> dollars. | ||
− | Adding <math>20+5+3</math> dollars <math> | + | Adding <math>20+5+3</math> dollars <math>\boxed{\$28 \textbf{ (D)}}</math>. |
==Video Solution== | ==Video Solution== | ||
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== 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}} | ||
+ | {{AMC10 box|year=2011|before=First Problem|num-a=2|ab=A}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 11:09, 19 October 2023
Contents
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 dollars. If she sent text messages and it costs cents per text, then she must have spent cents for texting, or dollars. She talked for hours, but will give us the amount of time exceeded past 30 hours. hours minutes. Since the price for phone calls is cents per minute, the additional amount Michelle has to pay for phone calls is cents, or dollars. Adding dollars .
Video Solution
~savannahsolver
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 |
2011 AMC 10A (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 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.