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It took 12 gallons of gas to fill the tank of the family car. This is 5/6 of the amount the tank can hold. How much gas does the tank hold?


Please answer in a fraction.

Verified Answer :

cheetahdoglover1

the car holds 14.4 gallons 12 times 6 divided by 5 is 14.4. 12 × 6 or 72/5

Answer:

\(\dfrac{72}{5}\) gallons of gas.

Step-by-step explanation:

It is given that 12 gallons of gas can fill the tank of the family car.  

This is 5/6 of the amount the tank can hold.

Let x be the capacity of tank in gallons.

\(\dfrac{5}{6}x=12\)

Multiply both sides by 6.

\(5x=12\times 6\)

\(5x=72\)

Divide both sides by 5.

\(x=\dfrac{72}{5}\)

Therefore, the tank can hold \(\dfrac{72}{5}\) gallons of gas.

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