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Austin’s gas tank is 1/3 full after he buys 12 gallons of gas it is 7/9 full. How many gallons can Austin’s tank hold?

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Final answer:

Austin's gas tank can hold approximately 15.43 gallons.

Step-by-step explanation:

To find out how many gallons Austin's tank can hold, we can set up a proportion using the given information. If 12 gallons fills 7/9 of the tank, then let's assume x represents the number of gallons the tank can hold. The proportion would look like this:

12 / x = 7/9

To solve for x, we can cross-multiply and solve the resulting equation:

12 * 9 = 7 * x

108 = 7 * x

Divide both sides of the equation by 7 to isolate x:

x = 108 / 7

x ≈ 15.43

Therefore, Austin's gas tank can hold approximately 15.43 gallons.

User Dirk
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