Gonzalez Mann
02/28/2023 · High School
A hat salesman earns a commission of \( 30 \% \) of all hat sales made. Yesterday he sold 3 hats for \( \$ 90 \) each and 4 hats for \( \$ 50 \) each. How much did he earn in commission yesterday?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To calculate the commission earned by the hat salesman, we first need to determine the total sales amount from the hats sold.
1. **Calculate the total sales from the hats sold:**
- For the 3 hats sold at \( \$ 90 \) each:
\[
3 \times 90 = 270
\]
- For the 4 hats sold at \( \$ 50 \) each:
\[
4 \times 50 = 200
\]
2. **Add the total sales from both types of hats:**
\[
270 + 200 = 470
\]
3. **Calculate the commission earned:**
The commission rate is \( 30\% \), which can be expressed as \( 0.30 \). Therefore, the commission is:
\[
0.30 \times 470 = 141
\]
Thus, the hat salesman earned a commission of \( \boxed{141} \) dollars yesterday.
Quick Answer
The hat salesman earned a commission of 141 dollars yesterday.
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