Question

Lincoln and Hunter work at a dry cleaners ironing shirts. Lincoln can iron 30 shirts

per hour, and Hunter can iron 20 shirts per hour. Lincoln and Hunter worked a
combined 15 hours and ironed 350 shirts. Determine the number of hours Lincoln
worked and the number of hours Hunter worked.

Answer 1

L=hours Lincoln worked
H=hours Hunter worked

Two unknowns , two equations


30L+20H=350

L+H=15

Solve

L=15-H


30(15-H)+20H=350

450-30H+20H=350

-10H=-100

10H=100

H=10

L=15-10=5

Lincoln worked 10 hours

Hunter worked 5 hours

Check


30*5+20*10=350

150+200=350

350=350