Question
Mary Andersen used a government issued vehicle. Before leaving for work, Mary had 8 gallons of gasoline in her tank. When she arrived at work, she had four and one half gallons of gasoline. Mary's car could go 19.5 miles per gallon of gasoline used. Halfway through her trip to work, Mary purchased some gas. She bought $8 worth of gas at a cost of $1.00 per gallon. The total miles Mary drove in this trip was approximately how many miles?
A. 324.25 miles
B. 325.25 miles
C. 224.45 miles
D.224.25 miles
E. None of the above
A. 324.25 miles
B. 325.25 miles
C. 224.45 miles
D.224.25 miles
E. None of the above
Answers
GPT-4o mini
To determine the total miles Mary drove on her trip to work, we first need to calculate how many gallons of gasoline she used.
1. **Initial amount of gasoline:** 8 gallons
2. **Amount of gasoline left upon arrival:** 4.5 gallons
3. **Gasoline used:**
\[
8 \text{ gallons} - 4.5 \text{ gallons} = 3.5 \text{ gallons}
\]
Next, we know that Mary purchased $8 worth of gas at a cost of $1.00 per gallon:
\[
\text{Gallons purchased} = \frac{8 \text{ dollars}}{1.00 \text{ dollar/gallon}} = 8 \text{ gallons}
\]
Now, let's summarize Mary's gasoline status:
- Before her trip, she had 8 gallons.
- She used 3.5 gallons during the trip.
- She bought 8 gallons of gas halfway through the trip.
So, before she arrived at work:
\[
\text{Total gasoline after purchase} = 8 - 3.5 + 8 = 12.5 \text{ gallons}
\]
However, this addition seems incorrect for calculating the total distance, as the gasoline bought is not relevant to how many gallons were consumed.
The key information is how much gas Mary had used—3.5 gallons—before she reached work.
Next, we know that her car goes 19.5 miles per gallon. Thus, the total distance she drove can be calculated as:
\[
\text{Total distance} = \text{Gasoline used} \times \text{Miles per gallon}
\]
\[
\text{Total distance} = 3.5 \text{ gallons} \times 19.5 \text{ miles/gallon}
\]
Now we compute:
\[
3.5 \times 19.5 = 68.25 \text{ miles}
\]
However, we need to multiply this distance by the total trip to find the entire round trip distance with the additional gallons:
Assuming Mary bought 8 gallons, we need to calculate the total distance she could drive with 3.5 gallons initially used and then the distance using the additional gasoline purchased:
- Since it seems she would make the full distance based on her total capacity, we find:
- Total gallons available:
\[
8 + 8 = 16 \text{ gallons}
\]
Now we consider the full distance:
\[
\text{Full distance} = 16 \text{ gallons} \times 19.5 \text{ miles/gallon} = 312 \text{ miles}
\]
Now considering her trip was one-way, if needing an estimate for round trip, the actual calculated would yield a significant journey primarily based on gallons utilized.
Given that we need the approximate distance noted which correctly collects estimates from one-way assumptions with calculated utilization, the best answer matches
- None of the provided answers since values deviate from assumptions on one-way trip distance or round up estimates to greater approximation on additional gallons after arrival.
The answer would confirm potentially **E. None of the above** as we clarify lean on effective trip distance correlating consistent with mileage provided throughout the data.
1. **Initial amount of gasoline:** 8 gallons
2. **Amount of gasoline left upon arrival:** 4.5 gallons
3. **Gasoline used:**
\[
8 \text{ gallons} - 4.5 \text{ gallons} = 3.5 \text{ gallons}
\]
Next, we know that Mary purchased $8 worth of gas at a cost of $1.00 per gallon:
\[
\text{Gallons purchased} = \frac{8 \text{ dollars}}{1.00 \text{ dollar/gallon}} = 8 \text{ gallons}
\]
Now, let's summarize Mary's gasoline status:
- Before her trip, she had 8 gallons.
- She used 3.5 gallons during the trip.
- She bought 8 gallons of gas halfway through the trip.
So, before she arrived at work:
\[
\text{Total gasoline after purchase} = 8 - 3.5 + 8 = 12.5 \text{ gallons}
\]
However, this addition seems incorrect for calculating the total distance, as the gasoline bought is not relevant to how many gallons were consumed.
The key information is how much gas Mary had used—3.5 gallons—before she reached work.
Next, we know that her car goes 19.5 miles per gallon. Thus, the total distance she drove can be calculated as:
\[
\text{Total distance} = \text{Gasoline used} \times \text{Miles per gallon}
\]
\[
\text{Total distance} = 3.5 \text{ gallons} \times 19.5 \text{ miles/gallon}
\]
Now we compute:
\[
3.5 \times 19.5 = 68.25 \text{ miles}
\]
However, we need to multiply this distance by the total trip to find the entire round trip distance with the additional gallons:
Assuming Mary bought 8 gallons, we need to calculate the total distance she could drive with 3.5 gallons initially used and then the distance using the additional gasoline purchased:
- Since it seems she would make the full distance based on her total capacity, we find:
- Total gallons available:
\[
8 + 8 = 16 \text{ gallons}
\]
Now we consider the full distance:
\[
\text{Full distance} = 16 \text{ gallons} \times 19.5 \text{ miles/gallon} = 312 \text{ miles}
\]
Now considering her trip was one-way, if needing an estimate for round trip, the actual calculated would yield a significant journey primarily based on gallons utilized.
Given that we need the approximate distance noted which correctly collects estimates from one-way assumptions with calculated utilization, the best answer matches
- None of the provided answers since values deviate from assumptions on one-way trip distance or round up estimates to greater approximation on additional gallons after arrival.
The answer would confirm potentially **E. None of the above** as we clarify lean on effective trip distance correlating consistent with mileage provided throughout the data.