Question

a tennis star was hired to sign autographs at a convention. she was paid $3000 plus 3% of all admission fees collected at the door. the total amount she received for the day was $3610. find the total amount collected at the door. the total amount collected at the door is $

Explanation:

Step1: Set up an equation

Let $x$ be the total amount of admission - fees collected at the door. The tennis - star's pay is $3000 + 0.03x$, and we know her total pay is $3610$. So the equation is $3000+0.03x = 3610$.

Step2: Isolate the term with $x$

Subtract 3000 from both sides of the equation: $0.03x=3610 - 3000$.
$0.03x = 610$.

Step3: Solve for $x$

Divide both sides of the equation by 0.03: $x=\frac{610}{0.03}=\frac{61000}{3}\approx20333.33$.

Answer:

$20333.33$