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nata0808 [166]
2 years ago
10

A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled. A) How many gallons of gas does the va

n use if it travels 3x miles? B) The van uses 2y gallons of gas for its journey from Town A to Town B. Find the distance between Town A and Town B.
Mathematics
1 answer:
Setler79 [48]2 years ago
7 0

Answer:

A)  \frac{x}{8} gallons

B)  Distance between Town A and Town B is 48y  miles


Step-by-step explanation:

A)

We know, number of gallons = \frac{DistanceTravelled}{MilesPerGallon}

if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:

Number of Gallons = \frac{DistanceTravelled}{MilesPerGallon}=\frac{3x}{24}=\frac{x}{8}


B)

Now, given is number of gallons = 2y & we know mpg is 24; <em>so what is the distance?</em>

We use the same formula and solve for distance (let distance between A and B be "D"):

NumberOfGallons=\frac{DistanceTravelled}{MilesPerGallon}\\2y=\frac{D}{24}\\D=2y*24\\D=48y

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