Zahid is paid a set wage of $774.72 for a 36-hour week, plus time-and-a-half for overtime. In one particular week he worked 43 hours. What was Zahid's earnings that week?

By direct calculation, we will see that his earnings that week are  $1,000.68How to find the earnings?First, we know that for 36 hours of work Zahid gets $774.72Then, for each hour, he gets: $774.72/36h = $21.52 per hour.Now we know that this week he worked 43 hours, and the normal shift is of 36 hours.So the number of extra hours that he did is:43h - 36h = 7 hoursFor each one of these, he gets 1.5 times the normal hourly wage, then for these 7 hours he gets:7*(1.5)*$21.52 = $225.96And for the other 36 hours we already know that he gets $774.72, adding these two we get: $774.72 + $225.96 = $1,000.68That week his earnings are $1,000.68If you want to learn more about algebra, you can read: