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Deandre's gas tank is 3\10 full. After he buys 14 gallons of gas, it is 4\5 full. How many gallons can Deandre's tank hold?

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Answer: 28 gallons

Step-by-step explanation: Let's assume the total capacity of Deandre's gas tank is "x" gallons.

Given that Deandre's gas tank is initially 3/10 full, we can represent this as:

(3/10) * x

After he buys 14 gallons of gas, the tank becomes 4/5 full, which can be represented as:

(4/5) * x

We can set up the equation:

(3/10) * x + 14 = (4/5) * x

To solve for "x," we can simplify the equation:

(3/10) * x + 14 = (4/5) * x

Multiply both sides of the equation by 10 to eliminate the denominators:

3x + 140 = 8x

Subtract 3x from both sides of the equation:

140 = 8x - 3x

140 = 5x

Divide both sides of the equation by 5:

x = 140/5

x = 28

Therefore, Deandre's gas tank can hold 28 gallons.

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