Answer:
The number of hours Gianna worked is 6 and the number of hours Matthew worked is 5.
Explanation:
There are mistakes in the question so below is the rectified one:
Gianna and Matthew work at a dry cleaners ironing shirts. Gianna can iron 30 shirts per hour, and Matthew can iron 10 shirts per hour. Gianna and Matthew worked combined 11 hours and ironed 230 shirts. Determine the number of hours Gianna worked and the number of hours Matthew worked.
Now, to find the number of hours Gianna worked and the number of hours Matthew worked.
Let the number of hours Gianna worked be

And let the number of hours Mathew worked be

So, the total number of hours combined they worked:


Now, the total number of shirts they ironed:


Substituting the value of
from equation (1) we get:



Subtracting both sides by 110 we get:

Dividing both sides by 20 we get:

The number of hours Gianna worked = 6 hours.
Now, substituting the value of
in equation (1):

The number of hours Matthew worked = 5 hours.
Therefore, the number of hours Gianna worked is 6 and the number of hours Matthew worked is 5.