One week, Kevin earned $492.00 at his job when he worked for 20 hours. If he is paid the same hourly wage, how much would he make next week if he worked 3 hours?
Understand the Problem
The question is asking how much Kevin would earn if he worked 3 hours next week, given his hourly wage based on his earnings from the previous week. To solve it, we first need to determine his hourly wage by dividing his total earnings by the hours worked and then use that wage to calculate his earnings for 3 hours.
Answer
$73.80$
Answer for screen readers
$73.80$
Steps to Solve
- Calculate Kevin's Hourly Wage
To find Kevin's hourly wage, we divide his total earnings by the number of hours he worked.
The formula is: $$ \text{Hourly Wage} = \frac{\text{Total Earnings}}{\text{Hours Worked}} $$
Substituting in Kevin's numbers: $$ \text{Hourly Wage} = \frac{492.00}{20} = 24.60 $$
- Calculate Earnings for 3 Hours
Now, we need to calculate how much Kevin would earn next week if he worked for 3 hours. We use his hourly wage from the previous step:
The formula is: $$ \text{Earnings for 3 Hours} = \text{Hourly Wage} \times \text{Hours Worked Next Week} $$
Substituting in the known values: $$ \text{Earnings for 3 Hours} = 24.60 \times 3 = 73.80 $$
- Final Calculation Result
Kevin's earnings for working 3 hours are: $$ \text{Earnings} = 73.80 $$
$73.80$
More Information
Kevin's hourly wage is $24.60, which means for every hour he works, he earns that amount. If he works for 3 hours next week, he will make a total of $73.80.
Tips
- A common mistake is forgetting to divide the total earnings by hours worked to find the hourly wage.
- Some may also incorrectly multiply the hourly wage or the hours worked, so it's essential to ensure both values are accurate before the final calculation.
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