Students Studying Foreign Languages
Source:
December 28, 2006
percentAMCAIMEfloor functionceiling function
Problem Statement
Each of the 2001 students at a high school studies either Spanish or French, and some study both. The number who study Spanish is between 80 percent and 85 percent of the school population, and the number who study French is between 30 percent and 40 percent. Let be the smallest number of students who could study both languages, and let be the largest number of students who could study both languages. Find .