SOLUTION: A man received $12 and free board for every day that he works but for each day that he is idle, he pays the employer $12. How many days was he idle if after 30 days he received $24

Question 198519: A man received $12 and free board for every day that he works but for each day that he is idle, he pays the employer $12. How many days was he idle if after 30 days he received $240?
Answer by yenfox(1) (Show Source): You can put this solution on YOUR website!
X is the number of days he work
(30-X) is the number of days he doesn't work
He will receive $12*X after X days of working
He will have to pay his employer $12*(30-X) for the days that he idle
At the end of 30 days he earns $240 means the money he earn subtract the money he pay his employer for idling days is $240=$12*X-$12*(30-X)
$240=$12*X -$360 + $12*X
$600=$24*X
25=X
He work 25 days and idle 5 days
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