Penelope has more than 70 but less than 80 mini cupcakes. If she puts them equally into bags of 9, she would be short of 8 mini cupcakes. If she puts them equally into bags of 5, she would have 3 extra mini cupcakes. How many mini cupcakes does Penelope have?
Multiples of 9: 54, 63, 72, 81
Multiples of 9 (-8): 46, 55, 64, 73
Multiples of 5: 55, 60, 65, 70, 75, 80, 85
Multiples of 5 (+3): 58, 63, 68, 73, 78, 83, 88
Common number more than 70 but less than 80: 73
Number of mini cupcakes that Penelope has = 73
Answer(s): 73