Algebra Puzzle – Challenge 49
A great math brain teaser and puzzle for smart ones! Try this math challenge to boost your brainpower with scientific exercises!
Challenge:
John wants to clean his house during this week. He cleaned \(\frac{1}{5}\) of his house on Sunday and \(\frac{1}{4}\) of the remaining on Monday. On Tuesday, John cleaned \( \frac{1}{3}\) of what still remained and \(\frac{1}{2}\) of what left on Wednesday. What fraction of the house needs to be cleaned?
A- \(\frac{1}{5}\)
B- \(\frac{1}{6}\)
C- \(\frac{1}{12}\)
D- \(\frac{1}{16}\)
E- \(\frac{1}{24}\)
The Absolute Best Book to Challenge Your Smart Student!
The correct answer is A.
John cleaned \(\frac{1}{5}\) of his house on Sunday and \(\frac{1}{4}\) of the remaining on Monday.
The remaining on Monday was \(\frac{4}{5}\). Therefore, \(\frac{1}{4}\) of \(\frac{4}{5}\) equals:
\(\frac{1}{4} × \frac{4}{5} = \frac{4}{20} = \frac{1}{5}\). So, he cleaned \(\frac{1}{5}\) of his house on Sunday and another \(\frac{1}{5}\) of his house on Monday. The remaining for the next day is \(\frac{3}{5}\) of the house.
On Tuesday, John cleaned \(\frac{1}{3}\) of what still remained. \(\frac{1}{3}\) of \(\frac{3}{5}\) of the house equals:
\(\frac{1}{3} × \frac{3}{5} = \frac{3}{15} = \frac{1}{5}\). So far, he has cleaned \(\frac{3}{5}\) of the house and \(\frac{2}{5}\) of the house is left.
He cleaned \(\frac{1}{2}\) of what left (\(\frac{2}{5}\) of the house) on Wednesday. \(\frac{1}{2}\) of \(\frac{2}{5}\) of the house equals:
\(\frac{1}{2} × \frac{2}{5} =\frac{2}{10} = \frac{1}{5}\).
Therefore, \(\frac{1}{2}\) of the house needs to be cleaned.The Absolute Best Books to Ace Algebra
$14.99Satisfied 1 Students$14.99Satisfied 92 Students$15.99Satisfied 125 Students
Related to This Article
More math articles
- Full-Length 6th Grade PARCC Math Practice Test-Answers and Explanations
- A Complete Step-by-Step Guide on Euler’s Method
- What Kind of Math Is on the TSI Test?
- 7th Grade GMAS Math Worksheets: FREE & Printable
- How to Find the Scale Factor of a Dilation?
- Addition of Four-Digit Numbers
- 7th Grade SC Ready Math Worksheets: FREE & Printable
- The Ultimate ILTS Elementary Education Math (Grades 1–6) (305) Course
- 5th Grade WY-TOPP Math Worksheets: FREE & Printable
- How to Prepare for the ASVAB Math Test?
What people say about "Algebra Puzzle – Challenge 49 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.