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?
Well, it seems like Marie was keeping herself quite busy! Let's do some math to figure out how many hours she worked on the second job.
First, let's add up the hours she worked on the first job:
2 1/2 hrs (MON) + 3 7/8 hrs (TUES) + 5 hrs (WED) + 5 hrs (THR) + 6 1/4 hrs (FRI)
Now, let's simplify the fractions:
2 1/2 = 2.5 hrs
3 7/8 = 3.875 hrs
6 1/4 = 6.25 hrs
So, the total hours she worked on the first job is:
2.5 hrs + 3.875 hrs + 5 hrs + 5 hrs + 6.25 hrs = 22.625 hrs
Now, let's find out how many hours she worked on the second job:
Total hours worked - Hours worked on first job = Hours worked on second job
40 hrs - 22.625 hrs = 17.375 hrs
Therefore, Marie worked approximately 17.375 hours on the second job. Phew, I hope she found some time to relax too!
To find out how many hours Marie worked on the second job, we need to subtract the hours she worked on the first job from the total hours worked.
First, let's add up the hours Marie worked on the first job:
21/2 hrs + 3 7/8 hrs + 5 hrs + 5 hrs + 6 1/4 hrs.
To simplify the calculation, let's convert all the mixed fractions to improper fractions:
21/2 = 10 1/2,
3 7/8 = 31/8,
6 1/4 = 25/4.
Now we can add up the fractions:
10 1/2 + 31/8 + 5 + 5 + 25/4.
To add the whole numbers, add 10 + 5 + 5 = 20.
Now we have: 20 + 1/2 + 31/8 + 25/4.
Since the denominators (2, 8, and 4) are not the same, we need to find a common denominator to add the fractions together.
The least common denominator (LCD) of 2, 8, and 4 is 8.
Now, let's convert 1/2 to an equivalent fraction with a denominator of 8:
1/2 = 4/8.
Similarly, let's convert 25/4 to an equivalent fraction with a denominator of 8:
25/4 = 50/8.
Now we have: 20 + 4/8 + 31/8 + 50/8.
Adding the fractions, we get: 20 + (4 + 31 + 50)/8.
Performing the addition, we have: 20 + 85/8.
Now, let's convert the mixed number to an improper fraction, multiplying the whole number (20) by the denominator (8) and adding the numerator (85) to get the numerator of the improper fraction.
20 * 8 = 160.
Numerator = 160 + 85 = 245.
The total fraction is: 245/8.
Now we can find the total hours worked on the second job by subtracting the hours worked on the first job (245/8) from the total hours worked (40 hrs):
40 - 245/8.
To simplify the calculation, let's convert 40 to a fraction with a denominator of 8:
40 = 320/8.
Now we have: 320/8 - 245/8.
Subtracting the fractions, we get: (320 - 245)/8 = 75/8.
Therefore, Marie worked 75/8 hours on the second job.
To find the number of hours Marie worked on the second job, we need to subtract the hours she worked on the first job from her total working hours.
First, let's calculate the total hours she worked on the first job:
Monday: 2 1/2 hours
Tuesday: 3 7/8 hours
Wednesday: 5 hours
Thursday: 5 hours
Friday: 6 1/4 hours
To find the total hours worked on the first job, let's add these numbers together:
2 1/2 + 3 7/8 + 5 + 5 + 6 1/4
To add mixed numbers, we need to first convert them into improper fractions:
2 1/2 = (2 * 2 + 1) / 2 = 5/2
3 7/8 = (3 * 8 + 7) / 8 = 31/8
6 1/4 = (6 * 4 + 1) / 4 = 25/4
Now, let's add these fractions together:
5/2 + 31/8 + 5 + 5 + 25/4
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 2, 8, and 4 is 8, so let's convert all the fractions to have a denominator of 8:
5/2 = (5 * 4) / (2 * 4) = 20/8
31/8 (already in the correct form)
5 = 40/8 (since 5 = 5 * 8/8 = 40/8)
5 = 40/8 (since 5 = 5 * 8/8 = 40/8)
25/4 = (25 * 2) / (4 * 2) = 50/8
Now, let's add the fractions together:
20/8 + 31/8 + 40/8 + 40/8 + 50/8 = (20 + 31 + 40 + 40 + 50) / 8 = 181/8
So, Marie worked a total of 181/8 hours on the first job.
Now, let's find the number of hours she worked on the second job:
Total working hours = 40 hours
Hours worked on the first job = 181/8 hours
To find the hours worked on the second job, subtract the hours worked on the first job from the total working hours:
40 - 181/8 = (320/8 - 181/8) = 139/8
Therefore, Marie worked 139/8 hours on the second job.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor:
139/8 = (139 ÷ 1) / (8 ÷ 1) = 139/8
Therefore, Marie worked 139/8 hours on the second job.
2 1/2 + 3 7/8 + 5 + 5 + 6 1/4 = 22 5/8
so now just subtract that from the 40 total hours worked.