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Kevin‘s gas tank is 1/6 full. After he buys 11 gallons of gas it is 2/3 full. how many gallons can Kevins tank hold?

User Sixsixsix
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1 Answer

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Let's assume Kevin's gas tank can hold "x" gallons of gas.

Given:
1. Initially, the gas tank is 1/6 full.
2. After buying 11 gallons, it's 2/3 full.

So, we can set up the equation:

Initial amount + 11 gallons = 2/3 of the tank's capacity

(1/6)x + 11 = (2/3)x

Now, let's solve for x:

First, subtract (1/6)x from both sides:

11 = (2/3)x - (1/6)x

To add the fractions on the right side, we need a common denominator, which is 6:

11 = (4/6)x - (1/6)x

Now, combine the fractions:

11 = (3/6)x

Now, multiply both sides by 6/3 to solve for x:

11 = (6/3)x

(6/3)x = 11

x = (3/6) * 11

x = 33/6

x = 5.5

So, Kevin's gas tank can hold 5.5 gallons of gas.
User Pmhargis
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