Decide which of the two given prices is the better deal and explain why. You can fill a 15​-gallon tank of gas for ​$51.43 or buy gas for ​$3.30​/gallon.
Option A, the better deal is to fill a 15 dash gallon tank for $51.43 because the price to fill a 15​-gallon tank of gas for ​$51.43 is ​x. 
Option B, the better deal is to buy gas for $3.30 divided by gallon because the price to fill a 15​-gallon tank of gas for ​$51.43 is ​x

To determine which option is the better deal, we need to calculate the cost per gallon for both options and compare them.

### Option A:
- **Total cost:** $51.43
- **Gallons of gas:** 15 gallons

The cost per gallon in Option A is calculated by dividing the total cost by the number of gallons:

\[
\text{Cost per gallon for Option A} = \frac{51.43}{15} \approx 3.43 \text{ dollars per gallon}
\]

### Option B:
- **Price per gallon:** $3.30

Since Option B directly gives the price per gallon as $3.30, no further calculation is needed.

### Comparison:
- **Option A cost per gallon:** $3.43
- **Option B cost per gallon:** $3.30

Since $3.30 per gallon (Option B) is less than $3.43 per gallon (Option A), **Option B** is the better deal.

### Conclusion:
**Option B** is the better deal because buying gas at $3.30 per gallon is cheaper than filling a 15-gallon tank for $51.43, which effectively costs $3.43 per gallon.

---

Would you like more details on the calculation, or do you have any other questions? Here are five related questions you might find interesting:

1. How do you calculate the cost per gallon for different quantities of gas?
2. What factors can influence the price per gallon at different gas stations?
3. How does the price per gallon change when buying in bulk?
4. Can loyalty programs or discounts at gas stations affect which option is a better deal?
5. How would taxes affect the comparison between these two options?

**Tip:** Always check the price per gallon before filling up your tank to ensure you're getting the best deal possible.

Learn how to compare gas prices to determine which option is a better deal: filling a 15-gallon tank for $51.43 or buying gas at $3.30 per gallon. Understand the arithmetic behind calculating cost per gallon and how it influences your choice. Suitable for students in Grades 6-8.

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