Difference between revisions of "2007 Cyprus MO/Lyceum/Problem 26"

m
m (+)
Line 10: Line 10:
  
 
==See also==
 
==See also==
*[[2007 Cyprus MO/Lyceum/Problems]]
+
{{CYMO box|year=2007|l=Lyceum|num-b=25|num-a=27}}
  
*[[2007 Cyprus MO/Lyceum/Problem 25|Previous Problem]]
+
[[Category:Introductory Algebra Problems]]
 
 
*[[2007 Cyprus MO/Lyceum/Problem 27|Next Problem]]
 

Revision as of 17:14, 6 May 2007

Problem

The number of boys in a school is 3 times the number of girls and the number of girls is 9 times the number of teachers. Let us denote with $b$, $g$ and $t$, the number of boys, girls and teachers respectively. Then the total number of boys, girls and teachers equals to

$\mathrm{(A) \ } 31b\qquad \mathrm{(B) \ } \frac{37b}{27}\qquad \mathrm{(C) \ } 13g\qquad \mathrm{(D) \ } \frac{37g}{27}\qquad \mathrm{(E) \ } \frac{37t}{27}$

Solution

$g=\frac{b}3$ and $t=\frac{b}{27}$

$S=b+\frac{b}{3}+\frac{b}{27}=\frac{37b}{27}\Rightarrow\mathrm{ B}$

See also

2007 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 25
Followed by
Problem 27
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 26 27 28 29 30
Invalid username
Login to AoPS