Tom drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 286 miles? m gallons

Mathematics · Middle School · Mon Jan 18 2021

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Given the statement:

Tom drove 260 miles using 12 gallons of gas.

Determine how many gallons of gas is needed to drive 286 miles.

Solution:

To determine the answer, we must first determine the unit rate in miles per gallons. This can be done by simply dividing 260 miles with 12 gallons.

= 260 miles/12 gallons

= 21.67 miles per gallon

Now we can divide 286 by 21.67 in order to determine the gallons needed.

= 286 miles/21.67 miles per gallon

= 13.2 gallons of gas 

FInal answer:

13.2 gallons of gas are needed.