Birthdays

In a classroom, students give candy to their classmates on their birthdays. The birthday student gives one candy to each classmate but does not receive one themselves. A total of 650 candies were given out over the course of the year. How many students are in the class? (Assume every student had their birthday on a school day.)

Final Answer:

n =  26

Step-by-step explanation:

n (n1)=650  n (n1)=650 n2n650=0  a=1;b=1;c=650 D=b24ac=1241(650)=2601 D>0  n1,2=2ab±D=21±2601 n1,2=21±51 n1,2=0.5±25.5 n1=26 n2=25  n=n1=26

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