Question

A woman is paid $8.50 per hour for a35-hour week and she is paid double time for overtime. Determine how many hours she worked when her wage for certain week was $450.50

Answer 1

Given:

Wage per hour = $8.50

Hour per week = 35

Overtime wage per hour = (2×8.50) = $17

The total wage of a week = $450.50

To find:

the number of hours worked the certain week when her wage was $450.50

Solution:

first, let us find the standard wage per week

= $8.50 × 35hours

= $297.50

extra wages

= $450.50 - $297.50

= $153

extra hours worked

= $\frac{\\153}{17}$hrs

9 hours.

Since she had already done all her normal hours she worked overtime for 9 hours for which she was paid double her normal wage. Hence, $17 is used to calculate the number of extra hours worked.

Therefore, the total number of hours a woman worked when her wage is $450.50 are (36 normal + 9 overtime) = 45 hours.