There are some macarons in a box. The macarons can be put into plates of 2 or 4 with no macarons leftover. When the macarons are put into plates of 10, there are short of 4 macarons on the last plate. If there are more than 50 macarons but less than 70 macarons, how many macarons are there in the box?
If macarons can be put into plates of 2 or 4 with no macarons leftover, the number of macarons is a multiple of 4 as 4 is a multiple of 2.

Multiples of 4 that are greater than 50 but less than 70: 52, 56, 60, 64, 68

Multiples of 10 that are greater than 50 but less than 70: 50, 60, 70
Multiples of 10 (- 4) that are greater than 50 but less than 70: 46, 56, 66

Common number = 56

Number of macarons = 56

Answer(s): 56