6. Wages, Pay, Commission, and Work Rates
GED® Basic Math: Rates & Unit Rates Mastery · preview lesson
Money rates often use dollars per hour, dollars per item, or percent commission. For hourly wages:
\[
\text{total pay}=\text{hourly rate}\times\text{hours}.
\]
Example: A worker earns 14 dollars per hour for 22 hours.
\[
14(22)=308\text{ dollars}.
\]
If total pay and hours are known, divide to find hourly rate:
\[
\frac{96\text{ dollars}}{8\text{ hours}}=12\text{ dollars per hour}.
\]
Work rate measures output per time: pages per hour, forms per day, lawns per week.
Case study - two workers: Ava types 8 pages per hour. Ben types 5 pages per hour. Together, if they can work independently on different pages, their combined rate is
\[
8+5=13\text{ pages per hour}.
\]
In 3 hours, they type \(13(3)=39\) pages.
Common mistake: comparing total output without time. Typing 24 pages sounds better than 20 pages, but 24 pages in 6 hours is slower than 20 pages in 2 hours.
A worker earns 96 dollars for 8 hours. What is the hourly rate?
Divide pay by hours: \(96/8\).
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