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:

$7\text{ 11/12=7+}\frac{11}{12}$

Now we multiply by the percentage, this is:

$(7+\frac{11}{12})(\frac{84}{100})$

using the distributive property we get:

$7\times\frac{84}{100}+\frac{11}{12}\times\frac{84}{100}$

Solving the operations:

$7\times\frac{84}{100}+\frac{11}{12}\times\frac{84}{100}=\frac{147}{25}+\frac{77}{100}$

Solving the addition:

$\frac{147}{25}+\frac{77}{100}=\frac{133}{20}$

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

$7+\frac{11}{12}+\frac{133}{20}$

Solving the addition we get:

$\frac{437}{30}$

Now we rewrite the numerator:

$\frac{437}{30}=\frac{420+17}{30}$

Now we separate the denominator:

$\frac{420}{30}+\frac{17}{30}$

Solving the fraction on the left we get:

$14+\frac{17}{30}$

rewritten as a mixed fraction we get:

$14\text{ }\frac{17}{30}$

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