Question

Jordan and Sydney work at a dry cleaners ironing shirts. Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. Jordan worked 4 more hours than Sydney and they ironed 350 shirts between them. Determine the number of hours Jordan worked and the number of hours Sydney worked.

Answer 1

Jordan worked for 10 hours and Sydney worked for 6 hours.

Let x represent the number of hours that Jordan worked.

Let x represent the number of hours that Sydney worked.

Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them.

It means that

20x + 25y = 350- - - - - - - - - - - 1

Jordan worked 4 more hours than Sydney.

It means that

x = y + 4

Substituting x = y + 4 into equation 1, it becomes

20(y + 4) + 25y = 350

20y + 80 + 25y = 350

20y + 25y = 350 - 80

45y = 270

y = 270/45

y = 6

x = y + 4 = 6 + 4

x = 10