Logan can iron 40 shirts per hour, and Sarah can iron 35 shirts per hour. Logan and Sarah worked a combined 13 hours and ironed 490 shirts. Determine the number of hours Logan worked and the number of hours Sarah worked.

Answer:Logan - 7 hoursSarah - 6 hoursStep-by-step explanation:Given Logan can iron 40 shirts per hour, and Sarah can iron 35 shirts per hour.Also given that they worked together a combined hours of 13 hours Let the number of hours worked by Logan is x and the number of hours worked by Sarah be y hoursGiven x + y = 13Also given that they together ironed 490 shirt'swhich means 40x + 35y = 490solve the above two equations by elimination Multiply the first equation with 35 and subtract from the second equation we get40x - 35x = 490 - 4555x = 35x = 7 hoursSubstitute this value in the first equation to get the values of yx + y = 13y = 13 - xy = 13 - 7 = 6 hourstherefore the number of hours worked by Logan is 7 hours and the number of  hours Sarah worked is 6 hours