Question
He earns a 5% commission on total sales up to 20,000
Dan earned 1,900 in commission last month. How much money, in dollars did he have last month
Dan earned 1,900 in commission last month. How much money, in dollars did he have last month
Answers
GPT-4o mini
To find out how much Dan earned in total sales, we can use the information that he earns a 5% commission on sales up to $20,000.
Let \( S \) represent total sales. The commission earned can be expressed as:
\[
\text{Commission} = 0.05 \times S
\]
We know Dan earned $1,900 in commission, so we can set up the equation:
\[
0.05 \times S = 1900
\]
Now, we can solve for \( S \):
\[
S = \frac{1900}{0.05} = 1900 \div 0.05 = 1900 \times 20 = 38000
\]
Thus, Dan's total sales last month were \( S = 38,000 \).
Now, to find out how much money he had last month, we need to determine if that includes his commission amount. Since the problem does not specify additional income or deductions, we will assume that the commission is his take-home pay from these sales.
Hence, Dan had a total of:
\[
1900 \, (\text{commission}) + 38000 \, (\text{sales}) = 39900
\]
So, Dan had a total of **$38,000** in sales last month. If we assume he had no other earnings beyond the commission, he simply earned **$1,900** as his commission, resulting in total sales of **$38,000**.
Let \( S \) represent total sales. The commission earned can be expressed as:
\[
\text{Commission} = 0.05 \times S
\]
We know Dan earned $1,900 in commission, so we can set up the equation:
\[
0.05 \times S = 1900
\]
Now, we can solve for \( S \):
\[
S = \frac{1900}{0.05} = 1900 \div 0.05 = 1900 \times 20 = 38000
\]
Thus, Dan's total sales last month were \( S = 38,000 \).
Now, to find out how much money he had last month, we need to determine if that includes his commission amount. Since the problem does not specify additional income or deductions, we will assume that the commission is his take-home pay from these sales.
Hence, Dan had a total of:
\[
1900 \, (\text{commission}) + 38000 \, (\text{sales}) = 39900
\]
So, Dan had a total of **$38,000** in sales last month. If we assume he had no other earnings beyond the commission, he simply earned **$1,900** as his commission, resulting in total sales of **$38,000**.