Answer:
Logan - 7 hours
Sarah - 6 hours
Step-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 hours
Given x + y = 13
Also given that they together ironed 490 shirt's
which means 40x + 35y = 490
solve the above two equations by elimination
Multiply the first equation with 35 and subtract from the second equation we get
40x - 35x = 490 - 455
5x = 35
x = 7 hours
Substitute this value in the first equation to get the values of y
x + y = 13
y = 13 - x
y = 13 - 7 = 6 hours
therefore the number of hours worked by Logan is 7 hours and the number of hours Sarah worked is 6 hours
