Algebra Puzzle – Challenge 38

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

The Absolute Best Book to challenge your Smart Student!

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:
\(\frac{1}{2} T- \frac{1}{5} T= 90 → \frac{3}{10} T = 90 → T = 300\)

Related to "Algebra Puzzle – Challenge 38"

Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 94
Other Topics Puzzle – Challenge 94
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 91
Intelligent Math Puzzle – Challenge 91

Leave a Reply

Your email address will not be published. Required fields are marked *