When a teacher counted her students in groups of 4, there were two students left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were girls and she had more girls than boys, how many students did she have?

Guest Feb 21, 2021

#1**0 **

Let n be the number of students. We know that

n = 2 (mod 4)

n = 1 (mod 5)

15 students are girls, so there is a maximum of 29 students.

One solution for n is 26. So, the teacher has 26 students.

CubeyThePenguin Feb 21, 2021