Tito Sanchez receives a weekly salary of $400. he also receives a 6% 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 $790?

Petsmart has sale offering 10% off of all pet supplies. If Amanda Miller spent 15.72$ on pet supplies before tax, what was the price of the pet supplies she purchased before discount?

To calculate Tito's total sales in a week, we need to determine the amount he earns from his salary and commission combined.

Let's break it down step-by-step:

1. Start with Tito's weekly salary: $400.

2. Calculate his commission based on a sales percentage of 6%: 6% of x (total sales) = 0.06x.

3. Add Tito's commission to his salary to find the total amount he makes in a week:

Salary + Commission = $400 + 0.06x

4. Set up an equation to find the total amount he makes in a week:

$400 + 0.06x = $790

5. Now, solve the equation to find x (total sales):

0.06x = $790 - $400
0.06x = $390

To solve for x, divide both sides of the equation by 0.06:

x = $390 / 0.06

Calculating the value:

x ≈ $6,500

Therefore, Tito must have total sales of approximately $6,500 in a week to make a total of $790, taking into account both his salary and commission.

To find out the total sales Tito Sanchez must achieve in a week, we can follow these steps:

Step 1: Calculate the commission earned from sales
First, we need to calculate the commission earned by Tito Sanchez from his sales. The commission is based on a percentage of his total sales.

Since Tito's commission is 6% of his total sales, we can calculate it by multiplying his total sales by 0.06 (which is 6% expressed as a decimal):

Commission = Total Sales * 0.06

Step 2: Calculate the remaining amount needed to reach his target income
To find out the additional amount Tito needs to earn to reach his target income of $790, we subtract his base salary ($400) and the commission earned from his income target:

Additional Amount Needed = Target Income - Base Salary - Commission

Step 3: Calculate the total sales required
The additional amount needed is the commission Tito has to earn through his sales. We can find the total sales required by dividing the additional amount needed by the commission rate (0.06):

Total Sales = Additional Amount Needed / Commission Rate

Now let's substitute the values and calculate the total sales:

Commission = Total Sales * 0.06
Additional Amount Needed = $790 - $400 - Commission
Total Sales = Additional Amount Needed / 0.06

By plugging in the values, we can solve the equation and find the total sales needed for Tito Sanchez:

Total Sales = ($790 - $400 - Total Sales * 0.06) / 0.06

Now we can simplify the equation and isolate the Total Sales variable:

Total Sales * 0.06 + Total Sales = $790 - $400
0.06 * Total Sales + Total Sales = $390
1.06 * Total Sales = $390
Total Sales = $390 / 1.06

By dividing $390 by 1.06, we find that Tito Sanchez must achieve approximately $367.92 in total sales in a week to make a total of $790.

if sales = x, then salary s is given by

s = 400 + .06x

If s=790, then

790 = 400 + .06x
390 = .06x
x = 6500