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

I don't know who to set up a system of equations for this one can some on help

Answer 1

Lillian worked 7h and Jacob worked 6h

Explanation:

the number of hours Lillian worked are x (h)

the number of hours Jacob worked are y (h)

(0 < x,y < 13)

=> Lilian ironed: 25x (shirts)

Jacob ỉroned: 20y (shirts)

because Lillian and Jacob worked a combined 13 hours and ironed 295 shirts, we have:

`\left \{ {{x+y=13} \atop {25x+20y=295}} \right. => \left \{ {{x=7} \atop {y=6}} \right.`

so Lillian worked 7h and Jacob worked 6h