Rachel has more than 50 but less than 60 mini cupcakes. If she puts them equally into packets of 9, she would be short of 5 mini cupcakes. If she puts them equally into packets of 6, she would have 4 extra mini cupcakes. How many mini cupcakes does Rachel have?
Multiples of 9: 36, 45, 54, 63
Multiples of 9 (-5): 31, 40, 49, 58
Multiples of 6: 36, 42, 48, 54, 60, 66
Multiples of 6 (+4): 40, 46, 52, 58, 64, 70
Common number more than 50 but less than 60: 58
Number of mini cupcakes that Rachel has = 58
Answer(s): 58