High School

Three weeks ago, James worked 46 hours and earned $414. Two weeks ago, he earned $333 by working 37 hours. Last week, he worked 42 hours for $378.

How much does James need to earn this week so that his average weekly earning is $380? How many hours does he have to work to earn this amount?

Answer :

James needs to earn $395 this week to have an average weekly earning of $380. Without a specified hourly wage for the current week, we cannot determine the exact number of hours he needs to work; however, using last week's approximate wage rate of $9 per hour, James would need to work around 44 hours.

To calculate how much James needs to earn this week to have an average weekly earning of $380, we must first calculate the total amount he has earned in the past three weeks and then add the amount he needs to earn this week to achieve the average. So far, James has earned a total of $414 + $333 + $378 = $1125 over the past three weeks. To find out the total amount he needs for a $380 average over four weeks, we multiply $380 by 4 to get $1520. Now, we subtract the amount he has already earned from this total: $1520 - $1125 = $395.

James needs to earn $395 this week to have a $380 average weekly earning. The number of hours he has to work to earn this amount can vary depending on his hourly wage. The problem does not provide a specific hourly wage for the current week, so we cannot precisely calculate how many hours he needs to work without that information. However, if we use examples from the previous weeks, we can estimate.

James earned $378 for 42 hours last week, which is approximately $9 per hour ($378/42 hours). If we assume the same wage rate for this week, we divide the required earnings ($395) by the wage rate ($9 per hour), which equals approximately 43.89 hours. In this case, rounding up, James would need to work about 44 hours to earn $395 if he's paid the same rate as last week.

Answer:

43 hours / 42.2 hours (whichever your teacher wants

Step-by-step explanation:

James in paid $9 an hour

46x9= 414

37x9= 333

42x9 = 378

So if you divide 380 by 9 you get 42.2.