Erika has more than 70 but less than 80 mini cupcakes. If she puts them equally into bags of 6, she would be short of 5 mini cupcakes. If she puts them equally into bags of 7, she would have 2 extra mini cupcakes. How many mini cupcakes does Erika have?
Multiples of 6: 60, 66, 72, 78, 84
Multiples of 6 (-5): 55, 61, 67, 73, 79
Multiples of 7: 56, 63, 70, 77, 84
Multiples of 7 (+2): 58, 65, 72, 79, 86
Common number more than 70 but less than 80: 79
Number of mini cupcakes that Erika has = 79
Answer(s): 79