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Audrey works at a grocery store and Edward babysits .Audrey earns 12 euro per hour and charges a best rate of 9 euro to cover a meal and transport, and Edward earns 15 euro per hour. how long will they each have to work to earn the same amount of money?

Audrey works at a grocery store and Edward babysits Audrey earns 12 euro per hour and charges a best rate of 9 euro to cover a meal and transport and Edward ear class=

Respuesta :

As for Audrey, the equation that models his salary is:

[tex]A=9+12t[/tex]

On the other hand, Edward's salary is:

[tex]E=15t[/tex]

Where t is in hours, in both equations.

Then, if they earn the same amount of money, we need to set A=E and solve for t, as follows:

[tex]\begin{gathered} 9+12t=15t \\ \Rightarrow9+12t-12t=15t-12t \\ \Rightarrow9=3t \\ \Rightarrow t=\frac{9}{3}=3 \\ \end{gathered}[/tex]

The answer is 3 hours, which is equivalent to 3*60=180 minutes. Option C is the answer

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