The problem says the car travels 340 miles on 20 gallons so 340/20
We want to know how much the car can travel with 25 gallons of gas so x/25
We would use cross multiplication:
[tex] \frac{340}{20} = \frac{x}{25} [/tex]
From here you would multiply:
[tex]340*25 =20x[/tex]
Now to solve for x you would start by multiplying 340 * 25
340*25=8500
now we have
8500=20x
to isolate x we would divide both sides by 20
Final answer: x=425miles
So the answer is 425miles