Raeann had some skirts that she wanted to donate. 17 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 10 skirts. What is the smallest possible number of skirts Raeann had at first?
To be able to pack the remaining skirts into boxes of 7 or 10 skirts, the number of remaining skirts must be divisible by 7 or 10.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Multiples of 10: 10, 20, 30, 40, 50, 60, 70
LCM of 7 and 10: 70
Smallest possible number of skirts
= 70 + 17
= 87
Answer(s): 87