Maria sells paintings in an art gallery. She ears $375 each week plus a commission equal to 2.5% of her sales. This week her goal is to earn at least $500. What is the minimum amount of sales she must have this week to achieve her goal?
let the sales be s
.025s + 375 ≥ 500
multiply by 40 to get whole numbers
s + 15000 ≥ 20000
s = 5000
She must sell at least $5000 worth of paintings
To find out the minimum amount of sales Maria must have this week to achieve her goal, we need to subtract her fixed earnings from her goal and then divide by the commission rate.
Step 1: Calculate the commission Maria earns each week:
Commission = 2.5% of her sales
Commission = (2.5/100) x Sales
Step 2: Calculate her earnings without commission:
Earnings without commission = $375
Step 3: Calculate the minimum sales needed to reach her goal:
Minimum Sales = (Goal - Earnings without commission) / Commission
Now, let's substitute the given values into the formula:
Commission = (2.5/100) x Sales
Earnings without commission = $375
Goal = $500
Minimum Sales = (Goal - Earnings without commission) / Commission
Minimum Sales = ($500 - $375) / (2.5/100)
Simplifying the equation:
Minimum Sales = ($125) / (0.025)
Minimum Sales = $5,000
Therefore, Maria must have a minimum of $5,000 in sales this week to achieve her goal of earning at least $500.
To determine the minimum amount of sales Maria needs to achieve her goal, we can use the following equation:
Minimum Sales = (Goal - Fixed Earnings) / Commission Rate
In this case, Maria's fixed earning is $375, and her commission rate is 2.5% or 0.025.
Her goal is to earn at least $500.
So, let's substitute these values into the equation:
Minimum Sales = ($500 - $375) / 0.025
Minimum Sales = $125 / 0.025
Minimum Sales = $5000
Therefore, Maria must have a minimum of $5000 in sales this week to achieve her goal of earning at least $500.