Question

Trina works after school and on weekends. She always works three days each week. This week she worked 2 3/4 hours on Monday, 3 3/5 hours on Friday, and 5 1/2 hours on Saturday. Next week she plans to work the same number of hours as this week, but will work for the same number of hours each day. How many hours will she work on each day

Answer 1

So one is 2 3/4 an hour is 60min so 60 divided by four is 15 min and  15 times 3 is 45 min 2 hours is 120 mins so 120 plus 45 is 165 mins there another one is 5 hours and 1/2 hour and 1/2 of 60 is 30 5 hours equals 300 mins plus 30 equals 330 and finally there is 3 hours and 3/5 of an hour 60 divided by 5 equals 12 times 3 is 36 , 3 hours equals 180 mins plus 36 equals 216 min so add all mins from each day is 165 plus 330 plus 216 equals 711 mins divided by 60 or by 1 hour equals 11 and a half or 12 hours ( depends if you round the final number of 11.85 or not)

Answer 2

`3(19)/(20)=3.95` days.

Explanation:

Let n represent number of hours Trina will work each day this week.

We have been given that Trina always works three days a week. This week she worked 2 3/4 hours on Monday, 3 3/5 hours on Friday, and 5 1/2 hours on Saturday.

`\text{Total hours worked by Trina this week}=2(3)/(4)+3(3)/(5)+5(1)/(2)`

`\text{Total hours worked by Trina this week}=(11)/(4)+(18)/(5)+(11)/(2)`

Make a common denominator:

`\text{Total hours worked by Trina this week}=(11*5)/(4*5)+(18*4)/(5*4)+(11*10)/(2*10)`

`\text{Total hours worked by Trina this week}=(55)/(20)+3(72)/(20)+(110)/(20)`

`\text{Total hours worked by Trina this week}=(55+72+110)/(20)`

`\text{Total hours worked by Trina this week}=(237)/(20)`

Since Trina works three days per week, so number of hours worked in 3 days would be
`3n`.

The number of hours worked by next week will be equal to number of hours worked this week, so:

`3n=(237)/(20)`

`(3n)/(3)=(237)/(20*3)`

`n=(79*3)/(20*3)`

`n=(79)/(20)`

`n=3(19)/(20)=3.95`

Therefore, Trina will work
`3(19)/(20)` days or 3.95 days next week.