Problema Solution

Miss Von Thaden tried very hard to make sure that nobody was left out in dance class. she thought she had the correct head count of students so she told them to pair up. that didnt work because one person was left out. then she said groups of five but there was still one person left out.then she tried groups of three but there was still one person left out. finally she tried groups of four but there was still one person left out. there are less than 80 students in the class. how many were there that particular day?

Answer provided by our tutors

let 'x' represent the number of students there


x modulo 2 = 1

x modulo 5 = 1

x modulo 3 = 1

x modulo 4 = 1


there were either 1 or 61 students present