Question

Abdul drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 296 miles?

Answer 1

Well, to solve this, first of all, you will need to compare. So, Abdul drove 320 MILES using 12 GALLONS, how many gallons will he need to drive 296 MILES. This can be represented mathematically by;
320 miles=12 gallons
296 miles=x
   I replaced the unknown value with the letter x to make it easier to identify. Anyway, you need to cross and multiply. So 296 will multiply 12 and 320 will multiply x.
      296 multiplied by 12 is 3552 and 320 multiplied by x is 320x. So;
3552=320x
  Divide the both sides by 320 to reveal the value of x. 320 divided by 320 is x. And 3552 divided by 320 is 11.1. So;
x=11.1 gallons of gas
  Hope i helped

Answer 2

12.973 gallons of gas are needed to travel 296 miles.

This is a question in which the concept of direct proportionality is used, that is, the mileage of the vehicle, in miles, is directly proportional to the amount of gas, in gallons. The quantity of gallons of gas needed by the vehicle to drive 296 miles is determined by simple rule of three:

$x = 12\,gal \times \frac{320\,mi}{296\,mi}$

$x = 12.973\,gal$

12.973 gallons of gas are needed to travel 296 miles.

We kindly invite to check this question on direct proportionality: https://brainly.com/question/14964122