Difference between revisions of "2007 Cyprus MO/Lyceum/Problem 26"
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<math>g=\frac{b}3</math> and <math>t=\frac{b}{27}</math> | <math>g=\frac{b}3</math> and <math>t=\frac{b}{27}</math> | ||
| − | <math>S=b+\frac{b}{3}+\frac{b}{27}=\frac{37b}{27}\ | + | <math>S=b+\frac{b}{3}+\frac{b}{27}=\frac{37b}{27}\Longrightarrow\mathrm{ B}</math> |
==See also== | ==See also== | ||
| − | + | {{CYMO box|year=2007|l=Lyceum|num-b=25|num-a=27}} | |
| − | + | [[Category:Introductory Algebra Problems]] | |
| − | |||
| − | |||
Latest revision as of 20:21, 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 
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 | ||
