Naomi and Hudson work at a dry cleaners ironing shirts. Naomi can iron 35 shirts per hour, and Hudson can iron 20 shirts per hour. Naomi and Hudson worked a combined 13 hours and ironed 395 shirts. Write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked. Define the variables that you use to write the system.

Given that Naomi and Hudson work at a dry cleaners ironing shirts, and Naomi can iron 35 shirts per hour, while Hudson can iron 20 shirts per hour, knowing that Naomi and Hudson worked a combined 13 hours and ironed 395 shirts, to write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked, the following logical reasoning should be performed:

Naomi, working 13 hours, can iron up to 455 shirts (13 x 35), with which, every hour that Hudson has worked and she does not imply a decrease of 15 ironed shirts. Since 455 - 395 equals 60, and 60/20 equals 3, it is determined that Hudson worked 3 hours, while Naomi worked 10 hours.

Thus, the proposed inequality would be the following:

35Y + 20X = 395