justin has a car that ca travel 77 1/2 miles with 3 1/10 gallons of gas. kim has a car that can travel 99 1/5 miles with 3 1/5 gallons of gas. How many miles can each person drive with one gallon of gas?

77.5/3.1 = 25 mpg

99.2/3.2 = 31 mpg

Well, isn't that quite a mileage mystery! Let's break it down, shall we?

Justin's car can travel 77 1/2 miles with 3 1/10 gallons of gas. To find out how many miles per gallon Justin's car gets, we divide the total distance by the number of gallons. Let's do some math magic!

77 1/2 miles ÷ 3 1/10 gallons = (77.5 ÷ 3.1) miles/gallon

And after popping out my calculator, I get... drumroll, please... Justin's car can go approximately 25 miles per gallon. Ta-dah!

Now let's put the spotlight on Kim's car. Kim's car can travel 99 1/5 miles with 3 1/5 gallons of gas. To find out how many miles per gallon Kim's car gets, we once again divide the total distance by the number of gallons. Let the numbers dance!

99 1/5 miles ÷ 3 1/5 gallons = (99.2 ÷ 3.2) miles/gallon

After some jaw-dropping calculations, I have the result... Kim's car can go about 31 miles per gallon. Bravo!

So, to recap:
- Justin's car can travel approximately 25 miles per gallon.
- Kim's car can travel around 31 miles per gallon.

Now, hit the road and have a gas-tastic time!

To find out how many miles each person can drive with one gallon of gas, we need to divide the total distance traveled by the amount of gas used.

For Justin:
Distance traveled = 77 1/2 miles
Gas used = 3 1/10 gallons

To find the mileage per gallon for Justin, we divide the distance traveled by the gas used:

Mileage per gallon for Justin = (77 1/2) miles / (3 1/10) gallons

First, let's convert the mixed numbers to improper fractions:
77 1/2 = (2 * 77 + 1) / 2 = 155/2
3 1/10 = (10 * 3 + 1) / 10 = 31/10

Then, divide the distance by the gas used to get the mileage per gallon:
Mileage per gallon for Justin = (155/2) miles / (31/10) gallons

Next, we need to multiply the fraction by the reciprocal of the divisor:
Mileage per gallon for Justin = (155/2) miles * (10/31) gallons

Simplifying the expression:
Mileage per gallon for Justin = (775/2) miles / (31/1) gallons
Mileage per gallon for Justin = (775/2) * (1/31) miles/gallons
Mileage per gallon for Justin = 775/62 miles/gallon

So, Justin can drive 775/62 miles with one gallon of gas.

Now let's calculate the mileage per gallon for Kim:

Distance traveled = 99 1/5 miles
Gas used = 3 1/5 gallons

To find the mileage per gallon for Kim, we divide the distance traveled by the gas used:

Mileage per gallon for Kim = (99 1/5) miles / (3 1/5) gallons

Converting mixed numbers to improper fractions:
99 1/5 = (5 * 99 + 1) / 5 = 496/5
3 1/5 = (5 * 3 + 1) / 5 = 16/5

Then, divide the distance by the gas used to get the mileage per gallon:
Mileage per gallon for Kim = (496/5) miles / (16/5) gallons

Dividing fractions is the same as multiplying by the reciprocal of the divisor:
Mileage per gallon for Kim = (496/5) miles * (5/16) gallons

Simplifying the expression:
Mileage per gallon for Kim = (496/5) miles / (16/1) gallons
Mileage per gallon for Kim = (496/5) * (1/16) miles/gallons
Mileage per gallon for Kim = 496/80 miles/gallon

So, Kim can drive 496/80 miles with one gallon of gas.

In summary:
Mileage per gallon for Justin = 775/62 miles/gallon
Mileage per gallon for Kim = 496/80 miles/gallon

To find out how many miles each person can drive with one gallon of gas, you need to divide the number of miles by the number of gallons of gas they can travel with.

For Justin:
Justin can travel 77 1/2 miles with 3 1/10 gallons of gas.
First, we need to convert 77 1/2 miles into an improper fraction.
77 1/2 is equal to 77 + 1/2 = 154/2 + 1/2 = 155/2.
Next, we divide the number of miles by the number of gallons:
155/2 / 31/10 = 155/2 x 10/31 = 775/31.
Therefore, Justin can drive approximately 775/31 miles with one gallon of gas.

For Kim:
Kim can travel 99 1/5 miles with 3 1/5 gallons of gas.
First, we need to convert 99 1/5 miles into an improper fraction.
99 1/5 is equal to 99 + 1/5 = 499/5 + 1/5 = 500/5.
Next, we divide the number of miles by the number of gallons:
500/5 / 3 1/5 = 500/5 x 5/16 = 500/16.
Therefore, Kim can drive exactly 500/16 miles with one gallon of gas.

To summarize, Justin can drive approximately 775/31 miles with one gallon of gas, while Kim can drive exactly 500/16 miles with one gallon of gas.

justin has a car that ca travel 77 1/2 miles with 3 1/10 gallons of gas. kim has a car that can travel 99 1/5 miles with 3 1/5 gallons of gas. How many miles can each person drive with one gallon of gas?