Question

Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
Tito receives a weekly salary of ​$500 at an appliance store. He also receives a 55​% commission on the total dollar amount of all sales he makes. What must his total sales be in a week if he is to make a total of ​$750
The equation is . ​Tito's total weekly sales should be ​$ nothing.
​(Type an equation using x as the​ variable.)

Answer 1

Answer:  $454.55

Step-by-step explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

$z (x) = 0.55x + 500$

We wish that $z (x) = 750$.

Then we equate the equation to 750 and solve for the variable x.

$0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250$

$\frac{0.55}{0.55}x = \frac{250}{0.55}$

$x = \ \ 454.55$

Total sales made by Tito must be $454.55