Algebra Puzzle – Challenge 46
This is a perfect mathematics puzzle for those who love to challenge their brains and test their logic skills.

Challenge:
If \(\frac{1}{6}\) of a number is \(2 \frac{7}{15}\) less than \(6 \frac{1}{3}\) of that number, \(1 \frac{4}{5} \) of that number is how much less than 4?
A- \(2\frac{4}{15}\)
B- \(\frac{15}{6}\)
C- \(\frac{82}{25}\)
D- \(\frac{33}{15}\)
E- \(\frac{23}{6}\)
The Absolute Best Book to challenge your Smart Student!

The correct answer is C.
Let x be the number. Then:
\(\frac{1}{6 } x = 6 \frac{1}{3 }x – 2 \frac{7}{15} ⇒ 6 \frac{1}{3 }x – \frac{1}{6 } x = 2 \frac{7}{15 } ⇒ \frac{37}{6 }x = \frac{37}{15 }\)
\(X = \frac{2}{5 }\)
Then:
\(1 \frac{4}{5 } x = \frac{9}{5 } × \frac{2}{5 } = \frac{18}{25 }\)
\(4 – (\frac{18}{25 }) = \frac{37}{25 } =\frac{82}{25 }\)
More math articles
- SHSAT Math Practice Test Questions
- Top 10 3rd Grade Common Core Math Practice Questions
- Word Problems Involving Equivalent Ratio
- How to Find the Area of Composite Shapes?
- Full-Length 6th Grade PARCC Math Practice Test-Answers and Explanations
- Top 10 Tips to Create a TABE Math Study Plan
- Meet the Key Reasons to Start Learning Math Now
- FREE TASC Math Practice Test
- How to Solve Inverse Variation?
- Top 10 Tips to Create the HSPT Math Study Plan
What people say about "Algebra Puzzle - Challenge 46"?
No one replied yet.