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A car used 12 gallons to travel 288 miles. How many gallons of gas will the car use to travel 192 miles?

Sagot :

Hey there!

Let "x" the number of gallons and "y" by the distance travelled.

According to question,

12x + 288y = 0 -->(i) x + 192y = 0

=> 12(x + 192y) = 0 × 12

=> 12x + 2304y = 0 -->(ii)

By Elimination method,

Equation (i) - (ii)

(12x + 288y) - (12x + 2304y) = 0 - 0

=> 12x + 288y - 12x - 2304y = 0

=> - 2016y = 0

=> y = 2016

Putting the value of "y" in Equation (i)

12x + 288y = 0

=> 12x + 288 × 2016 = 0

=> 12x + 580608 = 0

=> 12x = - 580608

=> x = 48384

Hope it helps

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