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Yuki's summer job at the frozen yogurt shop paid
$324 in her first 3 days on the job. She got paid the same hourly rate every day, and she worked 8 hours per day. How many dollars did Yuki make per hour?

Yuki's summer job at the frozen yogurt shop paid $\$ 324$ in her first $3$ days on the job. She got paid the same hourly rate every day, and she worked $8$ hours per day. How many dollars did Yuki make per hour?

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Counting principle

Full solution

Q. Yuki's summer job at the frozen yogurt shop paid

\$ 324

in her first

3

days on the job. She got paid the same hourly rate every day, and she worked

8

hours per day. How many dollars did Yuki make per hour?

Identify total earnings and hours worked: Identify the total earnings and the total hours worked. $\newline$ Yuki earned $\$324$ in her first $3$ days, working $8$ hours each day. $\newline$ Total earnings = $\$324$ $\newline$ Total hours worked = $3$ days $\times 8$ hours/day
Calculate total hours worked: Calculate the total hours worked over the $3$ days. $\newline$ Total hours worked = $3 \text{ days} \times 8 \text{ hours/day}$ $\newline$ Total hours worked = $24 \text{ hours}$
Determine hourly rate: Determine Yuki's hourly rate by dividing her total earnings by the total hours worked. $\newline$ Hourly rate = $\frac{\text{Total earnings}}{\text{Total hours worked}}$ $\newline$ Hourly rate = $\frac{\$324}{24 \text{ hours}}$
Perform division to find hourly rate: Perform the division to find the hourly rate. $\newline$ Hourly rate = $\$324 / 24$ hours $\newline$ Hourly rate = $\$13.50$ per hour

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