Question

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 1

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