Difference between revisions of "2013 AMC 8 Problems/Problem 16"

(See Also)
(Solution)
Line 2: Line 2:
  
 
==Solution==
 
==Solution==
 +
The number of 8th graders has to be a multiple of 8 and 5, so assume it is 40. Then there are <math>40*\frac{3}{5}=24</math> 6th graders and <math>40*\frac{5}{8}=25</math> 7th graders. The numbers of students is <math>40+24+25=\boxed{\textbf{(E)}\ 89}</math>
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2013|num-b=15|num-a=17}}
 
{{AMC8 box|year=2013|num-b=15|num-a=17}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 08:28, 27 November 2013

Problem

Solution

The number of 8th graders has to be a multiple of 8 and 5, so assume it is 40. Then there are $40*\frac{3}{5}=24$ 6th graders and $40*\frac{5}{8}=25$ 7th graders. The numbers of students is $40+24+25=\boxed{\textbf{(E)}\ 89}$

See Also

2013 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 15
Followed by
Problem 17
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 AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png