Certainly! Let's determine who can drive farther on 40 gallons of gasoline. We're going to compare the mileage efficiency of both Lauren's and Melissa's cars and then use that information to find out the distances they can cover.
Firstly, let's calculate the miles per gallon (mpg) for both Lauren and Melissa:
### Lauren's Car:
- Lauren can drive 320 miles using 10 gallons of gasoline.
- To find the miles per gallon: [tex]\( \frac{320 \text{ miles}}{10 \text{ gallons}} \)[/tex]
[tex]\[ \text{Lauren's miles per gallon} = \frac{320}{10} = 32 \text{ mpg} \][/tex]
### Melissa's Car:
- Melissa can drive 230 miles using 8 gallons of gasoline.
- To find the miles per gallon: [tex]\( \frac{230 \text{ miles}}{8 \text{ gallons}} \)[/tex]
[tex]\[ \text{Melissa's miles per gallon} = \frac{230}{8} \approx 28.75 \text{ mpg} \][/tex]
Now, we need to find out how far each can drive on 40 gallons of gasoline.
### Distance Lauren can drive on 40 gallons:
- Lauren's miles per gallon = 32 mpg.
- Distance = miles per gallon [tex]\(\times\)[/tex] number of gallons
[tex]\[ \text{Lauren's distance} = 32 \text{ mpg} \times 40 \text{ gallons} = 1280 \text{ miles} \][/tex]
### Distance Melissa can drive on 40 gallons:
- Melissa's miles per gallon = 28.75 mpg.
- Distance = miles per gallon [tex]\(\times\)[/tex] number of gallons
[tex]\[ \text{Melissa's distance} = 28.75 \text{ mpg} \times 40 \text{ gallons} = 1150 \text{ miles} \][/tex]
### Conclusion:
- Lauren can drive 1280 miles on 40 gallons of gasoline.
- Melissa can drive 1150 miles on 40 gallons of gasoline.
Therefore, Lauren can drive farther than Melissa on 40 gallons of gasoline.
