Question

At work, Elon takes a break 1/5​​ of each hour he works. He also takes a lunch break for 1/2​​ of an hour each day he works. Elon’s break time totals 12 1/2​​ hours at the end of 5​ days. Which equation could be used to determine the number of hours, h​ , Elon works during one 5​-day work week?

Answer 1

Answer:

$h=50\ hours$

Step-by-step explanation:

Let

h -----> the number of hours, Elon works during one 5​-day work week

we know that

$12\frac{1}{2}\ h=\frac{12*2+1}{2}=\frac{25}{2}\ h$

Elon’s break time must be equal to 1/2​​ of an hour multiplied by 5 days plus  1/5​​ multiplied by the total hours h

so

$\frac{25}{2}=5(\frac{1}{2})+\frac{1}{5}h$

Solve for h

Multiply by 10 both sides to remove the fraction

$125=25+2h$

$2h=125-25$

$2h=100$

$h=50\ hours$