Brendan worked 7 11/12 hours on Saturday, on Sunday he worked 84% of the hours he worked on Saturday. How many total hours do he work last weekend?

Respuesta :

Answer:

[tex]14\frac{17}{30}[/tex]hrs

Step-by-step explanation:

Given parameters:

Time worked on Saturday = [tex]7\frac{11}{12}[/tex]

Unknown:

Total hours he worked last weekend  = ?

Solution:

Since Brendan worked 84% of the time he worked on Saturday on Sunday;

 Time worked on Sunday  = [tex]\frac{84}{100}[/tex]  x [tex]\frac{95}{12}[/tex]   = [tex]\frac{133}{20}[/tex]  

Total time worked last weekend  = Time worked on Saturday + Time worked on Sunday;

Total time worked  =  [tex]\frac{95}{12}[/tex]  +  [tex]\frac{133}{20}[/tex]  

Total time worked = [tex]\frac{475 + 399}{60}[/tex]

Total time worked  = [tex]\frac{874}{60}[/tex]  

Total time worked = [tex]\frac{437}{30}[/tex]   = [tex]14\frac{17}{30}[/tex]hrs