Lillian can iron 25 per hour. Jacob can iron 20 shirts per hours. Lillian and Jacob combined 13 hours and ironed 295. Determine the number of hours Lillian worked and the number of hours Jacob worked.

x =  7      hous worked by Lillian

y  = 6      hours worked by Jacob

Step-by-step explanation:

Let call  " x  "  and  "  y  "  numbers of hours Lillian and Jacob worked respectively, then according to problem statement we have:

They both combined a total of 13 hours, therefore

x  +  y  =  13    ⇒   y  = 13  -  x

And the number of ironed shirts was  295  then we have

25*x  +  20*y  =  295

We need to solve that system of equations for   x     and    y   then

25*x   +  20 * ( 13 - x ) = 295

25*x   +  260  -  20*x   =  295

5*x  =  295  -  260

5*x  =  35

x  = 35/5

x  =  7

And  y  =  13  -  x    ⇒   y  =  13 - 7

y  =  6