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A tennis star was hired to sign autographs at a convention. She was paid 3000 plus 2% of all admission fees collected at the door. The total amount she received for the day was 3540. Find the total amount collected at the door

Respuesta :

Let x be the total amount collected at the door. Then, we can write

[tex]3000+(0.02\times x)=3540[/tex]

where the 0.02 denotes the comission of 2%. From this equation, we can find x.

Then, by moving 3000 to the right hand side, we have

[tex]\begin{gathered} 0.02x=3540-3000 \\ \end{gathered}[/tex]

which gives

[tex]0.02x=540[/tex]

Now, by moving 0.02 to the right hand side, we get

[tex]x=\frac{540}{0.02}[/tex]

then, x is given by

[tex]x=27000[/tex]

Therefore, the total amount collected at the door is $ 27 000.

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