Math
posted by Paul on .
There were 93 students going to a nature camp. After equal groups of fewer than10 students , were formed for hiking, 2 students were left over . How many equal groups were formed?

After 93 was divided by some number n, the remainder was 2, so clearly n >2
Divisor  remainder
3 ...... 0
4 ...... 1
5 ........ 3
6 ........3
7 ....... 2 yeahh
they formed 13 groups of 7 , leaving 2 students left over 
If two students were left, there are 932=91 students who were in groups of equal size.
Find factors of 91 and you will have a choice of two, one of which is under 10, which is also the number of students per group. The other factor (greater than 10) is therefore the number of groups formed.