Question

kelly babysits for 5 5/6 hours on the weekend. This is 2 1/12 hours more than she babysits during the week how many hours does she babysit during the week? SHOW WORK

Answer 1

During the week she babysits 3 3/4 hours

Explanation:

Let's call x: the number of hours that she babysits during the week.

5 5/6 hours represents 2 1/12 hours more than she babysits during the week.

Therefore:

x + 2 1/12 = 5 5/6

x = 5 5/6 - 2 1/12

5 5/6 can be rewritten as (6*5 + 5)/6 = 35/6

2 1/12 can be rewritten as (12*2 +1)/12 = 25/12

Replacing:

x = 35/6 - 25/12

12 is multiple of both denominators, 6 and 12, then the subtraction will have 12 as denominator.

x = [35*(12/6) - 25*(12/12)]/12

x = (70 - 25)/12

x = 45/12 or 3 3/4

Answer 2

She had baby sit for
`(45)/(12)` hrs OR 3 9/12 hrs OR 3 hours and 45 mins during the week.

Explanation:

Given:

kelly babysits for 5 5/6 hours on the weekend.

5 5/6 can be rewritten as
`(35)/(6)`

This is 2 1/12 hours more than she babysits during the week.

2 1/12 hours can be rewritten as
`(25)/(12)`

Let the number of hours she works in week be x;

Hence the expression can be given as;

`(25)/(12) + x = (35)/(6)`

Now Solving for x we get;

`x = (35)/(6)-(25)/(12)`

Now making the denominator common we get;

`x = (35* 2)/(6*2)-(25)/(12)`

`x = (70)/(12)-(25)/(12)`

`x = (70-25)/(12)`

`x = (45)/(12)`

She had baby sit for
`(45)/(12)` hrs OR 3 9/12 hrs OR 3 hours and 45 mins during the week.