# Algebra Puzzle – Challenge 38

This is another great math puzzle to help you improve your logic and critical thinking. The solution shows a step-by-step guide to solve it! ## Challenge:

200 percent of a half of $$\frac{1}{5}$$ of a tank is full of gas. If 90 gallon of gas is added to the tank, half of it will be filled. What is the capacity of the tank?

A- 150 Gallon

B- 180 Gallon

C- 200 Gallon

D- 260 Gallon

E- 300 Gallon

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$$200\%$$ of a half of $$\frac{1}{5}$$ of a tank equals to $$\frac{1}{5}$$ of the tank!
Half of $$\frac{1}{5}$$ equals to $$\frac{1}{10}. 200\%$$ of $$\frac{1}{10}$$ equals to $$\frac{1}{5}$$.
90 gallons of gas fills the difference of $$\frac{1}{5}$$ and half ($$\frac{1}{2}$$) of the tank. Therefore:
$$\frac{1}{2} T- \frac{1}{5} T= 90 → \frac{3}{10} T = 90 → T = 300$$

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