Question
At their school's craft fair, Diego and Rachel are both selling homemade bars of soap. So far, Diego has sold 18 bars of soap and has earned $31.50. Rachel has sold 20 bars of soap and has earned $34.00. Who is offering the better bargain?
Answers
GPT-4o mini
To find out who is offering the better bargain, we can determine the price per bar of soap for both Diego and Rachel.
**Diego's calculations:**
- Sold: 18 bars
- Earned: $31.50
Price per bar for Diego:
\[
\text{Price per bar} = \frac{\text{Total Earnings}}{\text{Number of Bars Sold}} = \frac{31.50}{18} \approx 1.75
\]
**Rachel's calculations:**
- Sold: 20 bars
- Earned: $34.00
Price per bar for Rachel:
\[
\text{Price per bar} = \frac{\text{Total Earnings}}{\text{Number of Bars Sold}} = \frac{34.00}{20} = 1.70
\]
Now we compare the prices per bar:
- Diego: $1.75 per bar
- Rachel: $1.70 per bar
Since $1.70 is less than $1.75, **Rachel is offering the better bargain.**
**Diego's calculations:**
- Sold: 18 bars
- Earned: $31.50
Price per bar for Diego:
\[
\text{Price per bar} = \frac{\text{Total Earnings}}{\text{Number of Bars Sold}} = \frac{31.50}{18} \approx 1.75
\]
**Rachel's calculations:**
- Sold: 20 bars
- Earned: $34.00
Price per bar for Rachel:
\[
\text{Price per bar} = \frac{\text{Total Earnings}}{\text{Number of Bars Sold}} = \frac{34.00}{20} = 1.70
\]
Now we compare the prices per bar:
- Diego: $1.75 per bar
- Rachel: $1.70 per bar
Since $1.70 is less than $1.75, **Rachel is offering the better bargain.**