Shannon has more than 40 but less than 50 mini cupcakes. If she puts them equally into packets of 6, she would be short of 2 mini cupcakes. If she puts them equally into packets of 7, she would have 4 extra mini cupcakes. How many mini cupcakes does Shannon have?
Multiples of 6: 30, 36, 42, 48, 54
Multiples of 6 (-2): 28, 34, 40, 46, 52
Multiples of 7: 28, 35, 42, 49, 56
Multiples of 7 (+4): 32, 39, 46, 53, 60
Common number more than 40 but less than 50: 46
Number of mini cupcakes that Shannon has = 46
Answer(s): 46