Question

Brandon works at the water park on weekends. Last Saturday he worked 7 11/12 hours. On Sunday, he worked 84% of the hours he worked on Saturday. How many total hours did he work last weekend? Give answer as mixed number

Answer 1

We are given that Brandon worked on Saturday 7 11/12 hours and 84% of that on Sunday. To determine the total number of hours we need to determine how many hours is 84% of 7 11/12. To do that we will rewrite the mixed fraction as follows:

`7\text{ 11/12=7+}(11)/(12)`

Now we multiply by the percentage, this is:

`(7+(11)/(12))((84)/(100))`

using the distributive property we get:

`7*(84)/(100)+(11)/(12)*(84)/(100)`

Solving the operations:

`7*(84)/(100)+(11)/(12)*(84)/(100)=(147)/(25)+(77)/(100)`

Solving the addition:

`(147)/(25)+(77)/(100)=(133)/(20)`

Now we add this to the number of hours he worked on Saturday:

`7+(11)/(12)+(133)/(20)`

Solving the addition we get:

`(437)/(30)`

Now we rewrite the numerator:

`(437)/(30)=(420+17)/(30)`

Now we separate the denominator:

`(420)/(30)+(17)/(30)`

Solving the fraction on the left we get:

`14+(17)/(30)`

rewritten as a mixed fraction we get:

`14\text{ }(17)/(30)`

Therefore, we worked in total 14 17/30 hours during the weekend.