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a car used 130 gallon of gasoline on a 6 1/2 hour trip. the total distance of the trip was 365 miles. using this information determine the average number of gallon used in one hour

Respuesta :

Answer: 20 gallons per hour.

Step-by-step explanation:

Let be "x" the  average number of gallons that the car used in one hour.

You need to analize the information given in the exercise:

1. The total amount of gallons used by the car was:

[tex]Total\ used=130\ gallons[/tex]

2. The car consumes that amount in [tex]6\frac{1}{2}\ hours[/tex].

So, to convert the mixed number to a decimal number, you must divide the numerator by the denominator of the fraction and add the result to the whole number part. Then:

[tex](6+\frac{1}{2})\ hours=6.5\ hours[/tex]

Set up the following proportion:

[tex]\frac{130}{6.5}=\frac{x}{1}[/tex]

Finally, you must solve for "x" in order to find its value:

[tex]\frac{130}{6.5}=x\\\\x=20[/tex]