# Q3: Wages and Overtime

Question:

Bill Tupper makes $24 per hour for a 40 hour work week. He earns time and a half for every hour over 40 hours during that one week. If Bill earned$1140 last week, how many overtime hours did he work?

We can divide Bill's earnings into two categories. He earned a certain amount during his regular time and a certain amount extra in overtime. The first step is to calculate how much money Bill Tupper made during his regular 40 hours:

Regular = 40hrs * $24 =$960

The second step is to figure out how much he made as overtime. If Bill earned $1140 total, and$960 of that came from his regular hours, then obviously the rest was overtime:

Overtime: $1140 -$960 = $180 Now that we know how much he made in overtime we can calculate how many hours he worked. Since multiplying his hours times the hourly rate will give us$180, we can express that in an equation as well. Remember that he's now earning 1.5 times his regular wage.

(hours)*($24)*(1.5)=$180

hours*$36=$180

hours=5

Bill Tupper must have worked 5 hours of overtime to earn a total of \$1140 for the week.