Questions: Ava worked at three part-time jobs last week. At one job, she worked 11 hours at a salary of 16 per hour, at another she worked 18 hours at 18 per hour, and at the third she worked 13 hours at 24 per hour. What was her mean hourly wage? The mean hourly wage was .

Ava worked at three part-time jobs last week. At one job, she worked 11 hours at a salary of 16 per hour, at another she worked 18 hours at 18 per hour, and at the third she worked 13 hours at 24 per hour. What was her mean hourly wage?

The mean hourly wage was .

Transcript text: Ava worked at three part-time jobs last week. At one job, she worked 11 hours at a salary of $16 per hour, at another she worked 18 hours at $18 per hour, and at the third she worked 13 hours at $24 per hour. What was her mean hourly wage? The mean hourly wage was $\$$ $\square$.

Solution

Solution Steps

To find Ava's mean hourly wage, we need to calculate the total earnings from all three jobs and then divide this by the total number of hours she worked. First, calculate the earnings for each job by multiplying the hours worked by the hourly wage. Then, sum these earnings to get the total earnings. Next, sum the total hours worked across all jobs. Finally, divide the total earnings by the total hours to find the mean hourly wage.

Step 1: Calculate Earnings for Each Job

To find the earnings for each job, multiply the number of hours worked by the hourly wage for that job.

For the first job: \[ \text{Earnings}_1 = 11 \, \text{hours} \times \$16/\text{hour} = \$176 \]
For the second job: \[ \text{Earnings}_2 = 18 \, \text{hours} \times \$18/\text{hour} = \$324 \]
For the third job: \[ \text{Earnings}_3 = 13 \, \text{hours} \times \$24/\text{hour} = \$312 \]

Step 2: Calculate Total Earnings and Total Hours

Sum the earnings from all jobs to get the total earnings, and sum the hours worked to get the total hours.