# Math

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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 -

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

• Math -

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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