Question

Artie has worked 24 1/5 hours this week. His boss told him that he would pay him one dollar more per hour for the first 10 2/5 hours, as he was called in to work as an extra those hours. He will get regular pay for the rest. For how many hours will he get regular pay?

a) 14 hours
b) 13 hours
c) 10 hours
d) 9 hours

Answer 1

Artie will get regular pay for 13 hours. After converting hours worked and extra pay hours to improper fractions, we subtract to find the remaining hours for regular pay and round down to the nearest whole hour.

Step-by-step explanation:

To calculate the number of hours for which Artie will get regular pay, we subtract the hours he gets extra pay for from the total hours worked. Artie worked a total of 24 1/5 hours this week and will be paid extra for the first 10 2/5 hours.

First, we need to convert the mixed numbers into improper fractions to make the subtraction easier:

• 24 1/5 hours = (24 × 5 + 1)/5 = 121/5 hours
• 10 2/5 hours = (10 × 5 + 2)/5 = 52/5 hours

Next, we subtract the hours with extra pay from the total hours worked:

• 121/5 hours - 52/5 hours = 69/5 hours

Convert the result back into a mixed number:

• 69/5 hours = 13 4/5 hours

Since we cannot have a fraction of an hour for the purpose of this question, we round down to the nearest whole hour. So, Artie will get regular pay for 13 hours.

The correct answer is (b) 13 hours.