Question

Tito receives a weekly salary of ​$450 at an appliance store. He also receives a 4 percent 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 ​$710? And What is The equation?

Answer 1

Hello!

The answer is:

Tito needs a total of $6500 in sales if he want to receive $710 a week.

The equation is:

$TotalAmount=450+Sales*0.04$

Why?

From the statement we know that his salary is $450 plus a 4% commission on the total amount of all sales he makes.

So, we can write the following equation to determine the total sales in a week if he wants to make a total of $710.

Remember, if we are working with percents, we need to change it to real numbers in order to perform the calculations, we can do it by dividing the percent value into 100.

We have:

$TotalAmount=450+Sales*0.04$

Now, if he wants to make a total of $710, we have:

$750=450+Sales*0.04$

$750-450=Sales*0.04$

$Sales=\frac{710-450}{0.04}=6500$

We have that Tito needs a total of $6500 in sales if he want to receive $710 a week.

Have a nice day!