Question

Sam is hired for a 20-day period. On days that he works, he earns $60. For each day that he does not work, $30 is subtracted from his earnings. At the end of the 20-day period, he received $660. How many days did he not work?A) 2B) 4C) 6D) 3

Answer 1

He did not work for 6 days

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 =
`60(20-x)-30x`

We are given that At the end of the 20-day period, he received $660

So,
`60(20-x)-30x=660`

`1200-60x-30x=660`

`1200-90x=660`

`1200-660=90x`

`540=90x`

`(540)/(90)=x`

`6=x`

So, he did not work for 6 days

So, Option C is true