Question
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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? Diego

Ask by West Barnett. in the United States
Feb 28,2025

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Tutor-Verified Answer

Answer

Rachel is offering the better bargain because her soap costs less per bar.

Solution

To determine who is offering the better bargain, we need to compare the price per bar for each seller. Step 1. Calculate Diego’s price per bar:   Diego’s total earnings: $31.50   Number of bars sold: 18   Diego’s price per bar = 31.50 ÷ 18 = $1.75 Step 2. Calculate Rachel’s price per bar:   Rachel’s total earnings: $34.00   Number of bars sold: 20   Rachel’s price per bar = 34.00 ÷ 20 = $1.70 Since $1.70 (Rachel’s price per bar) is less than $1.75 (Diego’s price per bar), Rachel’s soap is less expensive and therefore offers the better bargain. Thus, Rachel is offering the better bargain.

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Beyond the Answer

To determine who is offering the better bargain, we can calculate the price per bar for both Diego and Rachel. Diego's price per bar of soap is \( \frac{31.50}{18} \), which comes out to \( \$1.75 \) per bar. Meanwhile, Rachel's price per bar is \( \frac{34.00}{20} \), which equals \( \$1.70 \) per bar. Comparing the two, Rachel is offering her soap at a slightly better bargain since \( \$1.70 < \$1.75 \). When looking at sales, many people often overlook the cost per unit. It's always a great idea to break it down like this, especially when considering bulk purchases or frequent sales. Some common mistakes include simply focusing on total sales without diving into unit prices; remember, the lower price per item usually indicates a better deal, so keep those calculators handy at the craft fair!

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