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Lerok [7]
2 years ago
10

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.
Mathematics
1 answer:
laiz [17]2 years ago
5 0

The number of hours Jeremiah ironed = 10 hours

The number of hours Tristan ironed = 7 hours

<u>Step-by-step explanation</u>:

  • 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

-(<u>35x + 20y = 490</u>)

 <u>-15x         = -150 </u>

x = 150/15

x = 10

Substitute x=10 in (1)

10+y = 17

y = 7

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