A car can travel 135 miles with 5 gallons of gasoline. At this rate, how much gallons of gasoline the car needs to travel 675 miles?

Respuesta :

Answer:

25 gallons

Step-by-step explanation:

Given

135 miles to 5 gallons

Required

Determine the number of gallons for 675 miles

From the question, number of miles is directly proportional to number of gallons:

So, we have:

[tex]135\ miles = 5\ gallons[/tex]

and

[tex]675\ miles = x[/tex]

Where x represents the number of gallons for 675 miles

Cross Multiply:

[tex]135 * x = 675 * 5[/tex]

[tex]135x = 3375[/tex]

Make x the subject

[tex]x = 3375/135[/tex]

[tex]x = 25[/tex]

Hence, the car needs 25 gallons

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