Difference between revisions of "2015 AMC 10B Problems/Problem 5"
(→Problem) |
Hashtagmath (talk | contribs) m (→Video Solution) |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
| − | |||
| − | |||
| − | |||
==Problem== | ==Problem== | ||
David, Hikmet, Jack, Marta, Rand, and Todd were in a <math>12</math>-person race with <math>6</math> other people. Rand finished <math>6</math> places ahead of Hikmet. Marta finished <math>1</math> place behind Jack. David finished <math>2</math> places behind Hikmet. Jack finished <math>2</math> places behind Todd. Todd finished <math>1</math> place behind Rand. Marta finished in <math>6</math>th place. Who finished in <math>8</math>th place? | David, Hikmet, Jack, Marta, Rand, and Todd were in a <math>12</math>-person race with <math>6</math> other people. Rand finished <math>6</math> places ahead of Hikmet. Marta finished <math>1</math> place behind Jack. David finished <math>2</math> places behind Hikmet. Jack finished <math>2</math> places behind Todd. Todd finished <math>1</math> place behind Rand. Marta finished in <math>6</math>th place. Who finished in <math>8</math>th place? | ||
| Line 15: | Line 12: | ||
Because Marta was <math>6</math>th, Jack was <math>5</math>th, so Todd was <math>3</math>rd. Thus, Rand was <math>2</math>nd and the 8th place finisher was <math>\boxed{\mathbf{(B)}\ \mathrm{Hikmet}}</math> | Because Marta was <math>6</math>th, Jack was <math>5</math>th, so Todd was <math>3</math>rd. Thus, Rand was <math>2</math>nd and the 8th place finisher was <math>\boxed{\mathbf{(B)}\ \mathrm{Hikmet}}</math> | ||
| − | ==Video Solution== | + | ==Video Solution 1== |
| + | https://youtu.be/sNdfksIblfs | ||
| + | |||
| + | ~Education, the Study of Everything | ||
| + | |||
| + | ==Video Solution 2== | ||
https://youtu.be/61oSoeT0ULA | https://youtu.be/61oSoeT0ULA | ||
~savannahsolver | ~savannahsolver | ||
| + | |||
| + | ==Note== | ||
| + | NOTE: this problem is supposedly the same as this question: https://artofproblemsolving.com/wiki/index.php/2015_AMC_12B_Problems/Problem_4 | ||
| + | but somehow the names are all different | ||
==See Also== | ==See Also== | ||
{{AMC10 box|year=2015|ab=B|num-b=4|num-a=6}} | {{AMC10 box|year=2015|ab=B|num-b=4|num-a=6}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Latest revision as of 00:03, 31 August 2022
Problem
David, Hikmet, Jack, Marta, Rand, and Todd were in a 
-person race with 
other people. Rand finished places ahead of Hikmet. Marta finished 
place behind Jack. David finished 
places behind Hikmet. Jack finished places behind Todd. Todd finished place behind Rand. Marta finished in th place. Who finished in 
th place?
Solution
Because Marta was th, Jack was 
th, so Todd was 
rd. Thus, Rand was nd and the 8th place finisher was 
Video Solution 1
~Education, the Study of Everything
Video Solution 2
~savannahsolver
Note
NOTE: this problem is supposedly the same as this question: https://artofproblemsolving.com/wiki/index.php/2015_AMC_12B_Problems/Problem_4 but somehow the names are all different
See Also
| 2015 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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. 
