Answer:
He did not work for 6 days
Step-by-step explanation:
Sam is hired for a 20-day period.
Let x be the no. of days he did not work
So, No. of days he worked = 20-x
he earns per working day = $60
So, he earns for (20-x) days = 60(20-x)
For each day that he does not work, $30 is subtracted from his earnings.
So, Amount deducted for x days = 30x
So, His earning for 20 days =[tex]60(20-x)-30x[/tex]
We are given that At the end of the 20-day period, he received $660
So, [tex]60(20-x)-30x=660[/tex]
[tex]1200-60x-30x=660[/tex]
[tex]1200-90x=660[/tex]
[tex]1200-660=90x[/tex]
[tex]540=90x[/tex]
[tex]\frac{540}{90}=x[/tex]
[tex]6=x[/tex]
So, he did not work for 6 days
So, Option C is true