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:
\(\frac{1}{2} T- \frac{1}{5} T= 90 → \frac{3}{10} T = 90 → T = 300\)The Absolute Best Books to Ace Algebra
Original price was: $29.99.$19.99Current price is: $19.99.Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- How to Understand Co-Function, Even-Odd, and Periodicity Identities in Trigonometry
- 10 Most Common 7th Grade IAR Math Questions
- How to Add Mixed Numbers? (+FREE Worksheet!)
- Division
- The Ultimate Algebra 1 Course (+FREE Worksheets)
- How to Solve Infinite Geometric Series? (+FREE Worksheet!)
- How to Solve Word Problems: Guessing and Checking
- Full-Length 7th Grade SBAC Math Practice Test-Answers and Explanations
- How to Choose the Right Visual: Models for Multiplying Fractions by Whole Numbers
- 5th Grade NJSLA Math Worksheets: FREE & Printable
What people say about "Algebra Puzzle – Challenge 38 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.