Olympiad Maths Prep

Track / Stage 4 / 340 of 340 #600 of 2000

Problem 600

AMC 12 late, AIME early
Combinatorics Difficulty 5.0 Find the answer

A class has 22 boys and 18 girls. During the holidays, 60%60\% of the students in this class went to do community work. At least, how many girls participated in this work?
(A) 1
(B) 2
(C) 4
(D) 6
(E) 8

Official solution

The correct answer is (B).

Of the total number of students in this class, 60%60 \% went to do community work, that is, 0.6×40=240.6 \times 40=24. The minimum number of female students who participated in this work is obtained when the number of male students who participated is maximum, that is, when 22 male students are involved in the work, leaving a minimum of 2 spots for the female students.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.