Question

Jeremiah and Tristan work at a dry cleaners ironing shirts. Jeremiah can iron 35 shirts per hour, and Tristan can iron 20 shirts per hour. Jeremiah and Tristan worked a combined 17 hours and ironed 490 shirts. Determine the number of hours Jeremiah worked and the number of hours Tristan worked.

Answer 1

The number of hours Jeremiah ironed = 10 hours

The number of hours Tristan ironed = 7 hours

Step-by-step explanation:

• Jeremiah can iron = 35 shirts per hour
• Tristan can iron = 20 shirts per hour
• Total work done by both = 490 shirts

Let 'x' be the number of hours Jeremiah ironed.

Let 'y' be the number of hours Tristan ironed.

x+y = 17   ------(1)

35x + 20y = 490  -------(2)

Multiply (1) by 20 and subtract (2) from (1),

 20x + 20y = 340

-(35x + 20y = 490)

 -15x         = -150

x = 150/15

x = 10

Substitute x=10 in (1)

10+y = 17

y = 7