Question

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

Answer 1

Answer:

x = 7 hous worked by Lillian

y = 6 hours worked by Jacob

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