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To solve this problem:

1. **Total roundtrip distance:**  
   The distance one way to Ms. O'Malley's cousin is 1,650 miles.  
   So, for a roundtrip, the distance is:
   \[
   2 \times 1,650 = 3,300 \text{ miles}
   \]

2. **Total gas needed:**  
   Ms. O'Malley's car can travel 35 miles per gallon of gas. To find out how many gallons she needs to cover 3,300 miles, we divide the total distance by the miles per gallon:
   \[
   \frac{3,300}{35} = 94.29 \text{ gallons}
   \]

3. **Comparison with available gas:**  
   Ms. O'Malley won 100 gallons of gas. Since she needs approximately 94.29 gallons for the roundtrip, the 100 gallons is more than enough to make the trip.

### Conclusion:  
Yes, Ms. O'Malley can drive the roundtrip to see her cousin on the free gas, because the total gas needed (94.29 gallons) is less than the 100 gallons she has.

Would you like further details or have any questions?

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Here are 5 related questions to explore the concept further:

1. How much gas would she have left after the roundtrip?
2. How far could she travel with the remaining gas after the roundtrip?
3. If the distance to her cousin was 1,800 miles instead, would 100 gallons still be enough?
4. How many miles could Ms. O'Malley travel if her car got 40 miles per gallon instead of 35?
5. What if the gas card was for only 90 gallons? Could she still make the trip?

**Tip:** When calculating fuel consumption, always consider both the distance traveled and the fuel efficiency of the vehicle to estimate how much gas is required.

Ms. O'Malley's cousin lives 1,650 miles away. Ms. O'Malley won a gift card for 100 gallons of gas. If her car can travel 35 miles on each gallon, can she drive roundtrip to see her cousin on the free gas? Explain how you know.

Explore if Ms. O'Malley can drive a 3,300-mile roundtrip to visit her cousin using only 100 gallons of gas. This problem teaches fuel efficiency, distance, and division. Perfect for students in Grades 6-8.

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