Question

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?

Answer 1

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

`A=9+12t`

On the other hand, Edward's salary is:

`E=15t`

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:

`\begin{gathered} 9+12t=15t \\ \Rightarrow9+12t-12t=15t-12t \\ \Rightarrow9=3t \\ \Rightarrow t=(9)/(3)=3 \\ \end{gathered}`

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