There are some muffins in a box. The muffins can be put into plates of 2 or 6 with no muffins leftover. When the muffins are put into plates of 13, there are short of 5 muffins on the last plate. If there are more than 50 muffins but less than 70 muffins, how many muffins are there in the box?
If muffins can be put into plates of 2 or 6 with no muffins leftover, the number of muffins is a multiple of 6 as 6 is a multiple of 2.

Multiples of 6 that are greater than 50 but less than 70: 54, 60, 66

Multiples of 13 that are greater than 50 but less than 70: 52, 65
Multiples of 13 (- 5) that are greater than 50 but less than 70: 47, 60

Common number = 60

Number of muffins = 60

Answer(s): 60