Emily had some shirts that she wanted to donate. 8 of them were torn and she had to throw them away. She then packed them equally into boxes. Each box could either contain 8 or 9 shirts. What is the smallest possible number of shirts Emily had at first?
To be able to pack the remaining shirts into boxes of 8 or 9 shirts, the number of remaining shirts must be divisible by 8 or 9.
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72
LCM of 8 and 9: 72
Smallest possible number of shirts
= 72 + 8
= 80
Answer(s): 80
