savanaherrera101 savanaherrera101
  • 17-07-2021
  • Mathematics
contestada

7
Abdul's gas tank is
1
3
full. After he buys 12 gallons of gas, it is
full. How many gallons can Abdul's tank hold?
9

Respuesta :

missbelle00 missbelle00
  • 17-07-2021

Answer:

27

Step-by-step explanation:

Let T be the capacity of the tank.

Since the tank was 1/3 full and ends up 7/9 full.

         [tex]\frac{7}{9}[/tex]T - [tex]\frac{1}{3}[/tex]T = 12  

Simplifying the left side of the equation, tells us how much 12 gallons fills.

         [tex]\frac{4}{9}[/tex]T = 12

Now we solve for T:

         T = 12*9/4

         T = 27

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