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Genrish500 [490]
3 years ago
10

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 fro

m 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
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

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 =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

\frac{540}{90}=x

6=x

So, he did not work for 6 days

So, Option C is true

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