Pamela had some hoodies that she wanted to donate. 13 of them were torn and she had to throw them away. She then packed them equally into boxes. Each box could either contain 7 or 9 hoodies. What is the smallest possible number of hoodies Pamela had at first?
To be able to pack the remaining hoodies into boxes of 7 or 9 hoodies, the number of remaining hoodies must be divisible by 7 or 9.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63
Multiples of 9: 9, 18, 27, 36, 45, 54, 63
LCM of 7 and 9: 63
Smallest possible number of hoodies
= 63 + 13
= 76
Answer(s): 76