Question

naomi and hudson work at a dry cleaners ironing shirts. naomi can iron 35 shirts an hour, and hudson can iron 20 shirts an 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.

Answer 1

• n, h = Naomi's and Hudson's work hours, respectively
• n + h = 13
• 35n +20h = 395

Explanation:

We are asked for the number of work hours of Naomi and Hudson. It is convenient to define the variables n and h to represent those hours, respectively. Then the system of equations is ...

n + h = 13 . . . . . . . . . . . . total work hours

35n +20h = 395 . . . . . . total shirts ironed

_____

The solution is Naomi worked 9 hours; Hudson worked 4 hours.