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?

Answer 1

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.