Each week Rosa receives a salary of $200 plus a 6 percent commission on her total sales. To the nearest dollar, how much would Rosa have to sell in one week to earn a total of $300
Each week Rosa receives a salary of $200 plus a 6 percent commission on her total sales. To the nearest dollar, how much would Rosa have to sell in one week to earn a total of $300
To determine how much Rosa would have to sell in one week to earn a total of $300, we need to find the amount of sales that would generate a commission of $100.
First, let's calculate the commission amount. The commission is 6% of the total sales, so we have:
6% of X = $100
To find X (the total sales), we can set up the equation:
0.06X = $100
Now, let's solve for X:
X = $100 / 0.06
X = $1666.67
To the nearest dollar, Rosa would have to sell approximately $1667 in one week to earn a total of $300.
To find out how much Rosa would have to sell in one week to earn a total of $300, we can use the formula:
Total Earnings = Base Salary + Commission
Given: Base Salary ($200), Total Earnings ($300), Commission Rate (6%)
Step 1: Calculate the commission amount:
Commission = Total Earnings - Base Salary
Commission = $300 - $200
Commission = $100
Step 2: Calculate the total sales:
Total Sales = Commission Amount / Commission Rate
Total Sales = $100 / 0.06
To the nearest dollar, divide $100 by 0.06 to find Rosa's total sales:
Total Sales = $1666.67
Therefore, Rosa would have to sell approximately $1667 worth of goods in one week to earn a total of $300.
Let her weekly sales be s
.06s + 200 = 300
solve for s