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A car is run until the gas tank is 1/8 full. The tank is filled to a capacity by putting in 14 gallons.The capacity of the gas tank of the car is?14 gal15 gal16 gal17 gal

Question

A car is run until the gas tank is 1/8 full. The tank is filled to a capacity by putting in 14 gallons.The capacity of the gas tank of the car is?14 gal15 gal16 gal17 gal

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Solution

To find the capacity of the gas tank, we need to understand that when the tank was 1/8 full, it was then filled up with 14 gallons to reach its full capacity.

This means that 14 gallons represents the remaining 7/8 of the tank's capacity (since 1 - 1/8 = 7/8).

To find the full capacity, we can set up a proportion to solve for the total capacity (C):

14 gallons / (7/8) = C / 1

Solving for C gives us:

C = 14 gallons * (8/7) = 16 gallons

So, the capacity of the gas tank of the car is 16 gallons.

This problem has been solved

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