Question

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?

Answer 1

5.5x = 6.6(30-x)
I don't get an integer solution. Is there a typo?

Answer 2

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!