Posted by **Barb** on Wednesday, April 3, 2013 at 12:50pm.

A carpenter agrees to work under the conditions that he is to be paid $5.50 every day he works, but must pay $6.60 every day he does not work. At the end of 30 days he finds he has paid out as much as he has received. How may days did he work?

- Math -
**Steve**, Wednesday, April 3, 2013 at 2:53pm
5.5x = 6.6(30-x)

I don't get an integer solution. Is there a typo?

- Math -
**Wayne**, Wednesday, April 3, 2013 at 3:15pm
Let x = days worked

Let 30 - x = days not worked, so

$5.5 * x - $6.6 * (30 - x) = 0

days worked = 16 and 4/11 days

days not worked = 13 and 7/11 days.

Goofy answers, as far as I'm concerned!

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