# 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

$11.99 Satisfied 123 Students The correct answer is E. $$200\%$$ 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: $$\frac{1}{2} T- \frac{1}{5} T= 90 → \frac{3}{10} T = 90 → T = 300$$ ### More math articles ### What people say about "Algebra Puzzle - Challenge 38"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

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