Difference between revisions of "2008 AIME I Problems/Problem 1"
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== Problem == | == Problem == | ||
| − | Of the students attending a school party, <math>60</math> | + | Of the students attending a school party, <math>60\%</math> of the students are girls, and <math>40\%</math> of the students like to dance. After these students are joined by <math>20</math> more boy students, all of whom like to dance, the party is now <math>58\%</math> girls. How many students now at the party like to dance? |
== Solution == | == Solution == | ||
Revision as of 14:28, 19 April 2008
Problem
Of the students attending a school party, 
of the students are girls, and 
of the students like to dance. After these students are joined by 
more boy students, all of whom like to dance, the party is now 
girls. How many students now at the party like to dance?
Solution
Say that there were 
girls and 
boys at the party originally. like to dance. Then, there are girls and 
boys, and like to dance.
Thus, 
, solving gives 
. Thus, the number of people that like to dance is 
.
See also
| 2008 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by First question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
