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Rachel earned $\$34$ in $4$ hours at her job today. She wants to know how much she could earn $e$ tomorrow if she works $10$ hours at the same hourly rate. How much will Rachel earn in $10$ hours?

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Solve proportions: word problems

Full solution

Q. Rachel earned

\$34

in

4

hours at her job today. She wants to know how much she could earn

e

tomorrow if she works

10

hours at the same hourly rate. How much will Rachel earn in

10

hours?

Calculate Hourly Rate: Determine Rachel's hourly rate based on her earnings and hours worked today. $\newline$ Rachel earned $\$34$ in $4$ hours. $\newline$ To find the hourly rate, divide the total earnings by the number of hours worked. $\newline$ Hourly rate = Total earnings / Hours worked $\newline$ Hourly rate = $\$34 / 4$ hours
Find Hourly Rate: Calculate Rachel's hourly rate. $\newline$ Hourly rate = $\$34 / 4$ $\newline$ Hourly rate = $\$8.50$ per hour
Calculate Total Earnings: Calculate how much Rachel will earn tomorrow if she works for $10$ hours at the same hourly rate. $\newline$ Total earnings for tomorrow = Hourly rate $*$ Hours worked tomorrow $\newline$ Total earnings for tomorrow = $\$8.50 \times 10$ hours
Calculate Total Earnings: Calculate Rachel's total earnings for $10$ hours. $\newline$ Total earnings for tomorrow = $\$8.50 \times 10$ $\newline$ Total earnings for tomorrow = $\$85$

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