Subjects algebra

Price Comparison 40845F

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1. **State the problem:** We want to compare the prices of chips at Ashley's and Eli's stores by finding a common number of bags or a common price. 2. **Given:** - Ashley's store: 10 bags cost 8.00 - Eli's store: 23 bags cost 16.00 3. **Find the unit price (cost per bag) at each store:** - Ashley's unit price: $$\frac{8.00}{10} = 0.80$$ per bag - Eli's unit price: $$\frac{16.00}{23} \approx 0.6957$$ per bag 4. **Find a common number of bags to compare total cost:** - The least common multiple (LCM) of 10 and 23 is $$10 \times 23 = 230$$ (since 10 and 23 are coprime). 5. **Calculate cost for 230 bags at each store:** - Ashley's cost: $$230 \times 0.80 = 184.00$$ - Eli's cost: $$230 \times 0.6957 \approx 160.01$$ 6. **Conclusion:** For the same number of bags (230), Eli's store costs approximately 160.01, which is cheaper than Ashley's 184.00. **Answer:** Eli's store has the better price.