Nolan and Mia work at a dry cleaners ironing shirts. Nolan can iron 25 shirts per hour, and Mia can iron 35 shirts per hour. Mia worked twice as many hours as Nolan and they ironed 380 shirts between them. Determine the number of hours Nolan worked and the number of hours Mia worked.

Nolan worked for 4 hours.

Mia worked for 8 hours.

Step-by-step explanation:

Let x represent the number of hours Nolan worked.

Let y represent the number of hours Mia worked.

Mia worked twice as many hours as Nolan. This means that

y = 2x

Nolan can iron 25 shirts per hour, and Mia can iron 35 shirts per hour. Together, Nolan and Mia ironed 380 shirts between them. This means that

25x + 35y = 380 - - - - - - - - - - - - - -1

Substituting y = 2x into equation 1, it becomes

25x + 35 × 2x = 380

25x + 70x = 380

95x = 380

x = 380/95

x = 4

y = 2x = 2 × 4

y = 8

70.30

step-by-step explanation: