Math

QuestionHow many tanks of gas are needed to drive 1200 miles if the car gets 24 miles per gallon and holds 15 gallons?

Studdy Solution

STEP 1

Assumptions1. The car gets24 miles per gallon. . The tank holds15 gallons.
3. The total distance to be driven is1200 miles.
4. The car's fuel efficiency remains constant throughout the journey.
5. The tank is filled to its maximum capacity each time.

STEP 2

First, we need to find out how many miles the car can travel on a full tank of gas. We can do this by multiplying the number of miles the car gets per gallon by the number of gallons the tank holds.
Milesperfulltank=MilespergallontimesGallonspertankMiles\, per\, full\, tank = Miles\, per\, gallon \\times Gallons\, per\, tank

STEP 3

Now, plug in the given values for miles per gallon and gallons per tank to calculate the miles per full tank.
Milesperfulltank=24milespergallontimes15gallonspertankMiles\, per\, full\, tank =24\, miles\, per\, gallon \\times15\, gallons\, per\, tank

STEP 4

Calculate the miles per full tank.
Milesperfulltank=24milespergallontimes15gallonspertank=360milesMiles\, per\, full\, tank =24\, miles\, per\, gallon \\times15\, gallons\, per\, tank =360\, miles

STEP 5

Now that we know how many miles the car can travel on a full tank, we can find out how many tanks of gas are needed to drive the total distance. This can be done by dividing the total distance by the miles per full tank.
Numberoftanks=Totaldistance/MilesperfulltankNumber\, of\, tanks = Total\, distance / Miles\, per\, full\, tank

STEP 6

Plug in the values for the total distance and the miles per full tank to calculate the number of tanks.
Numberoftanks=1200miles/360milesNumber\, of\, tanks =1200\, miles /360\, miles

STEP 7

Calculate the number of tanks.
Numberoftanks=1200miles/360miles=3.33tanksNumber\, of\, tanks =1200\, miles /360\, miles =3.33\, tanksHowever, you can't have a fraction of a tank, so you'll need to round up to the nearest whole number.

STEP 8

Round up the number of tanks to the nearest whole number.
Numberoftanks=4Number\, of\, tanks =4You will need4 tanks of gas to drive the1200 miles from Franklin to Disney World.

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