In an art class, there were just enough staplers, rulers, and glue bottles so that every 2 students had to share a stapler, every 3 students had to share a ruler, and every 4 students had to share a glue bottle. If the sum of the staplers, rulers, and glue bottles used by the class was 65, how many students were in the class?
No choices, we had to give our own answer.
I have no idea how to do this. If i add 2+3+4= 9. So number of students has to be a multiple of 9. But the answer is 60 students. Could anyone point me in the right direction?