At C-Town, 12 large bottles of water cost $15.00. At the Duane Reade next door, 20 large water bottles cost $23. a. Which is the better deal? b. How many large bottles of water could you buy with $28.75 at each store? 

To solve this problem, we need to determine the unit price for a large bottle of water at each store and then use that to compare which store offers a better deal. Additionally, we'll calculate how many bottles can be bought with a specific budget ($28.75) at each store.

### Part (a): Determine the Better Deal

1. **Calculate the unit price at C-Town:**

   At C-Town, 12 large bottles cost $15.00.

   \[
   \text{Unit price at C-Town} = \frac{\text{Total cost}}{\text{Number of bottles}} = \frac{15.00}{12} \approx 1.25 \text{ dollars per bottle.}
   \]

2. **Calculate the unit price at Duane Reade:**

   At Duane Reade, 20 large bottles cost $23.00.

   \[
   \text{Unit price at Duane Reade} = \frac{\text{Total cost}}{\text{Number of bottles}} = \frac{23.00}{20} = 1.15 \text{ dollars per bottle.}
   \]

Since $1.15$ (Duane Reade) is less than $1.25$ (C-Town), **Duane Reade offers the better deal** for large bottles of water.

### Part (b): Calculate How Many Bottles Can Be Bought with $28.75

We use the unit prices calculated above to determine how many bottles of water can be purchased with $28.75 at each store.

1. **At C-Town:**

   \[
   \text{Number of bottles} = \frac{\text{Budget}}{\text{Unit price at C-Town}} = \frac{28.75}{1.25} = 23 \text{ bottles.}
   \]

2. **At Duane Reade:**

   \[
   \text{Number of bottles} = \frac{\text{Budget}}{\text{Unit price at Duane Reade}} = \frac{28.75}{1.15} \approx 25 \text{ bottles.}
   \]

Therefore, with $28.75, you can buy **23 bottles at C-Town** and **25 bottles at Duane Reade**.

### Summary

- **Better Deal:** Duane Reade (1.15 dollars per bottle)
- **Bottles for $28.75:**
  - C-Town: 23 bottles
  - Duane Reade: 25 bottles

Would you like more details, or do you have any questions?

### Related Questions:

1. What is the percentage difference in the price per bottle between the two stores?
2. If the prices increased by 10% at both stores, which would still be the better deal?
3. How much would it cost to buy 30 bottles at each store?
4. If you had a $50 budget, how many bottles could you buy at each store, and what would the remainder be?
5. What is the total cost if you buy 15 bottles at each store?

**Tip:** Always calculate the unit price when comparing costs to find the best deal.

Find out which store offers a better deal on large water bottles between C-Town and Duane Reade. Calculate how many bottles you can buy with $28.75 at each store. Detailed step-by-step solution with unit price calculations and comparison. Suitable for grades 5-7.

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