Subjects algebra

Price Comparison 3E24Ac

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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 data:** - Ashley's store: 10 bags cost 8.00 - Eli's store: 23 bags cost 16.00 3. **Find the unit price (price per bag) for 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 prices:** We can use the least common multiple (LCM) of 10 and 23, which is $$10 \times 23 = 230$$ bags. 5. **Calculate total 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. **Fill in the blanks:** - At Ashley’s store, 230 bags of chips cost 184.00. - At Eli’s store, 230 bags of chips cost 160.01. 7. **Conclusion:** Eli's store has the better price because the total cost for the same number of bags is less.