Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per hour. Lillian and Jacob worked a combined 13 hours and ironed 295 shirts. Determine the number of hours Lillian worked and the number of hours Jacob worked. Lillian worked () hours and Jacob worked () hours

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