Gem has more than 50 but less than 60 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 3 extra mini cupcakes. How many mini cupcakes does Gem have?
Multiples of 6: 42, 48, 54, 60, 66
Multiples of 6 (-2): 40, 46, 52, 58, 64
Multiples of 7: 42, 49, 56, 63
Multiples of 7 (+3): 45, 52, 59, 66
Common number more than 50 but less than 60: 52
Number of mini cupcakes that Gem has = 52
Answer(s): 52