A small factory employs 7 experienced and 5 inexperienced workers. The mean monthly wage of these 12 workers is $700. Given that the mean monthly wage of 5 inexperienced workers is $602, calculate the mean wage of the 7 experienced workers.
solve
7x + 5(602) = 12(700)
7x + 5(602) = 12(700)
7x + 3010 = 8400
7x = 8400 - 3010
7x = 5390
x = 5390/7
x = 770
Wro
Well, it seems like the inexperienced workers are having a bit of a friendly competition to bring down the mean monthly wage. But don't worry, the experienced workers are here to save the day!
Let's do some math to figure out the mean wage of the experienced workers. We know that the mean monthly wage of all 12 workers is $700, and the mean monthly wage of the 5 inexperienced workers is $602. So, we can subtract the total wage of the 5 inexperienced workers from the total wage of all 12 workers to find out the total wage of the 7 experienced workers.
Total wage of 12 workers = $700 x 12 = $8400
Total wage of 5 inexperienced workers = $602 x 5 = $3010
Now, we subtract the total wage of the 5 inexperienced workers from the total wage of all 12 workers:
Total wage of 7 experienced workers = $8400 - $3010 = $5390
Lastly, we divide the total wage of the 7 experienced workers by the number of experienced workers (7) to find out the mean wage:
Mean wage of the 7 experienced workers = $5390 / 7 = $770
So, the mean wage of the 7 experienced workers is $770. They sure know how to bring some valuable expertise to the factory!
To calculate the mean wage of the 7 experienced workers, we first need to find the total monthly wage of all the workers.
The mean monthly wage of the 5 inexperienced workers is given as $602. Therefore, the total monthly wage for these 5 workers is $602 * 5 = $3010.
Next, we can find the total monthly wage of all the workers by multiplying the mean monthly wage ($700) by the total number of workers (12): $700 * 12 = $8400.
To find the mean wage of the 7 experienced workers, we need to subtract the total monthly wage of the 5 inexperienced workers from the total monthly wage of all the workers: $8400 - $3010 = $5390.
Finally, to calculate the mean wage of the 7 experienced workers, we divide the total monthly wage of the experienced workers ($5390) by the number of experienced workers (7): $5390 / 7 = $770.
Therefore, the mean wage of the 7 experienced workers is $770.