2008 AIME I Problems/Problem 1
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 |