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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?

Respuesta :

calculista

Answer:

[tex]h=50\ hours[/tex]

Step-by-step explanation:

Let

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

we know that

[tex]12\frac{1}{2}\ h=\frac{12*2+1}{2}=\frac{25}{2}\ h[/tex]

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

[tex]\frac{25}{2}=5(\frac{1}{2})+\frac{1}{5}h[/tex]

Solve for h

Multiply by 10 both sides to remove the fraction

[tex]125=25+2h[/tex]

[tex]2h=125-25[/tex]

[tex]2h=100[/tex]

[tex]h=50\ hours[/tex]

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