Marie worked 40 total hrs on two jobs. She worked 21/2 hrs on the first job on MON, 3 7/8 hrs on TUES, 5 hrs each on WED and THR, and 6 1/4 hrs on FRI. If the rest of her time was spent on the second job, how many hours did she work on the second job?
11 3/8 hours
Well, Marie seems to be quite the workaholic! Let's calculate the total hours she worked on the first job first.
On Monday, she worked 2 1/2 hours.
On Tuesday, she worked 3 7/8 hours.
On Wednesday, she worked 5 hours.
On Thursday, she worked 5 hours too.
And on Friday, she worked 6 1/4 hours.
Adding all these hours together, we get:
2 1/2 + 3 7/8 + 5 + 5 + 6 1/4 = 22 5/8 hours.
Since she worked a total of 40 hours on both jobs, we can subtract the hours she worked on the first job from the 40 to find out the hours she worked on the second job.
40 - 22 5/8 = 17 3/8 hours.
So, Marie worked approximately 17 3/8 hours on the second job. You go, Marie!
To find out how many hours Marie worked on the second job, we need to subtract the total hours worked on the first job from the total hours she worked.
1. Calculate the hours worked on the first job.
Monday: 2 1/2 hrs
Tuesday: 3 7/8 hrs
Wednesday: 5 hrs
Thursday: 5 hrs
Friday: 6 1/4 hrs
Total hours worked on the first job = 2 1/2 + 3 7/8 + 5 + 5 + 6 1/4
= 5/2 + 31/8 + 40/8 + 40/8 + 25/4
= 20/8 + 31/8 + 5 + 5 + 25/4
= 51/8 + 40/8 + 25/4
= 91/8 + 25/4
= 91/8 + 50/8 + 25/8
= 166/8
= 20 3/4 hrs
2. Calculate the hours worked on the second job.
Total hours worked = 40 hrs
Hours worked on the second job = Total hours worked - Hours worked on the first job
= 40 - 20 3/4
= 40 - 20.75
= 19.25 hrs
Therefore, Marie worked 19.25 hours on the second job.
To find out how many hours Marie worked on the second job, we need to subtract the total hours worked on the first job from the total hours worked.
To calculate the total hours worked on the first job, we add up the hours worked on each individual day:
1st job:
Monday: 21/2 hrs
Tuesday: 3 7/8 hrs
Wednesday: 5 hrs
Thursday: 5 hrs
Friday: 6 1/4 hrs
To add fractions and mixed numbers, we need to convert mixed numbers to improper fractions:
21/2 = 20/2 + 1/2 = 10 + 1/2 = 10 1/2
3 7/8 = (3 * 8 +7)/8 = 31/8
6 1/4 = (6 * 4 + 1)/4 = 25/4
Now we add up the fractions and mixed numbers:
Total hours worked on the first job:
10 1/2 + 31/8 + 5 + 5 + 25/4
To add mixed numbers and fractions, we need to find a common denominator. In this case, the common denominator is 8:
10 4/8 + 31/8 + 5 + 5 + 25/8 = 10 4/8 + 31/8 + 40/8 + 40/8 + 25/8
Now we can add the fractions:
10 4/8 + 31/8 + 40/8 + 40/8 + 25/8 = 146/8
Simplifying the fraction, we get:
146/8 = 18 2/8 = 18 1/4
So, Marie worked a total of 18 1/4 hours on the first job.
Now, to find out how many hours she worked on the second job, we subtract the hours worked on the first job from the total hours worked:
Total hours worked = 40 hrs
Hours worked on the first job = 18 1/4 hrs
To subtract mixed numbers, we need to find a common denominator. In this case, the common denominator is 4:
40 - 18 1/4 = 40 - 73/4
Converting to a common denominator:
40 - 73/4 = 160/4 - 73/4 = 87/4
So, Marie worked a total of 87/4 hours on the second job.