Question

Sophia needs to earn at least $1,800 each month to cover her living expenses. What is the minimum amount she needs to sell in order to earn at least $1,800 if she earns a 10.75% commission on everything she sells?

Answer 1

Sophia needs to sell at least $16,744.19 in goods or services to make $1,800 with a 10.75% commission. We arrived at this figure by dividing the desired earnings by the commission rate after converting the percentage to a decimal.

Step-by-step explanation:

To calculate the minimum amount Sophia needs to sell to earn at least $1,800 with a 10.75% commission, we can use the following formula:

Total Sales = Desired Earnings / Commission Rate

Firstly, convert the percentage to a decimal by dividing by 100:

10.75% = 0.1075

Now, divide Sophia's desired earnings by the commission rate:

Total Sales = $1,800 / 0.1075

When we do the division, we find that Sophia needs to sell:

Total Sales = $16,744.19 approximately

This means Sophia needs to sell at least $16,744.19 worth of goods or services to meet her living expenses of $1,800 a month based on her commission rate.