Difference between revisions of "2007 Cyprus MO/Lyceum/Problem 26"
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==Problem== | ==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 <math>b</math>, <math>g</math> | + | 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 <math>b</math>, <math>g</math> and <math>t</math>, the number of boys, girls and teachers respectively. Then the total number of boys, girls and teachers equals to |
<math> \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}</math> | <math> \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}</math> | ||
Revision as of 14:20, 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 
, 
and 
, the number of boys, girls and teachers respectively. Then the total number of boys, girls and teachers equals to
Solution
and 
