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# 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.