Answer:
After 20 weeks both tanks have the same amount of fuel.
Diesel tank= 110 gallons
Gasoline tank= 110 gallons
Step-by-step explanation:
Giving the following information:
Diesel tank:
Total capacity= 210 gallons
Unitary daily use= 5 gallons
Gasoline tank:
Total capacity= 430 gallons
Unitary daily use= 16 gallons
<u>First, we structure the total fuel loss formula for each tank:</u>
<u></u>
Diesel tank= 210 - 5*x
Gasoline tank= 430 - 16*x
x= number of weeks
<u>Now, we equal both formulas and isolate x:</u>
210 - 5x = 430 - 16x
11x = 220
x= 20
After 20 weeks both tanks have the same amount of fuel.
<u>Prove:</u>
Diesel tank= 210 - 5*20= 110 gallons
Gasoline tank= 430 - 16*20= 110 gallons