We know that the car can travel 119 miles per 5 gallons, to determine the miles per gallon we divide this distance by the tank capacity:
[tex]\frac{119}{5}=23.8[/tex]To determine how much gas we need for a 1190 mile drive we divide the distance by the mileage per gallon, then we have:
[tex]\frac{1190}{23.8}=50[/tex]Therefore we need 50 gallons