Knight Williams
03/23/2024 · Senior High School
their school's craft falr, Diego and Rachel are both selling homemade bars of soap. So far lego has sold 18 bars of soap and has earned \( \$ 31.50 \). Rachel has sold 20 bars of soap and las earned \( \$ 34.00 \). Who is offering the better bargain?
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Step-by-step Solution
To determine who is offering the better bargain, we can calculate the price per bar of soap for both Diego and Rachel.
**Diego:**
- Total earnings: \( \$31.50 \)
- Total bars sold: 18
Price per bar for Diego:
\[
\text{Price per bar} = \frac{\text{Total earnings}}{\text{Total bars sold}} = \frac{31.50}{18} \approx 1.75
\]
**Rachel:**
- Total earnings: \( \$34.00 \)
- Total bars sold: 20
Price per bar for Rachel:
\[
\text{Price per bar} = \frac{\text{Total earnings}}{\text{Total bars sold}} = \frac{34.00}{20} = 1.70
\]
Now we can compare the prices per bar:
- Diego: \( \$1.75 \) per bar
- Rachel: \( \$1.70 \) per bar
Since Rachel's price per bar (\$1.70) is lower than Diego's price per bar (\$1.75), Rachel is offering the better bargain.
Quick Answer
Rachel is offering the better bargain.
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