Difference between revisions of "2017 AMC 12B Problems/Problem 1"
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==Solution== | ==Solution== | ||
− | Kymbrea has | + | Kymbrea has <math>30</math> comic books initially and every month, she adds two. This can be represented as <math>30 + 2x</math> where x is the number of months elapsed. LaShawn's collection, similarly, is <math>10 + 6x</math>. To find when they will have an equal amount, we solve x for <math>2x + 30 = 6x + 10</math> and get <math>x = 5</math> <math>\boxed{\textbf{C}}</math>. |
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==See Also== | ==See Also== | ||
{{AMC12 box|year=2017|ab=B|before=First Problem|num-a=2}} | {{AMC12 box|year=2017|ab=B|before=First Problem|num-a=2}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 17:40, 16 February 2017
Problem 1
Kymbrea's comic book collection currently has comic books in it, and she is adding to her collection at the rate of comic books per month. LaShawn's collection currently has comic books in it, and he is adding to his collection at the rate of comic books per month. After how many months will LaShawn's collection have twice as many comic books as Kymbrea's?
Solution
Kymbrea has comic books initially and every month, she adds two. This can be represented as where x is the number of months elapsed. LaShawn's collection, similarly, is . To find when they will have an equal amount, we solve x for and get .
See Also
2017 AMC 12B (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 |
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