Cathy has more than 60 but less than 70 sweets. If she puts them equally into packets of 5, she would be short of 1 sweets. If she puts them equally into packets of 9, she would have 6 extra sweets. How many sweets does Cathy have?
Multiples of 5: 50, 55, 60, 65, 70, 75, 80
Multiples of 5 (-1): 49, 54, 59, 64, 69, 74, 79
Multiples of 9: 54, 63, 72, 81
Multiples of 9 (+6): 60, 69, 78, 87
Common number more than 60 but less than 70: 69
Number of sweets that Cathy has = 69
Answer(s): 69