Ratio, Proportion and Percentages Puzzle -Critical Thinking 10
This is another fun critical thinking puzzle to encourage logic and problem-solving.
Challenge:
Amanda and Dani can paint a room together in 6 hours. If Amanda can paint the room by herself in 8 hours, what percent of the painting does Dani do?
The Absolute Best Book to Challenge Your Smart Student!
The correct answer is 25%.
Amanda can paint the room by herself in 8 hours. Therefore, she can paint \(\frac{1}{8}\) of the room in an hour. In the same way, Dani can paint \(\frac{1}{x}\) of the room in an hour. Together, they can paint \(\frac{1}{6}\) part of the room in an hour. Now, write the equation and solve for x.
\(\frac{1}{8}+\frac{1}{x}=\frac{1}{6}⇒\frac{1}{6}-\frac{1}{8}=\frac{1}{24}⇒x=24\)
Dani can paint the room in 24 hours. Then, in six hours, Dani paints \(\frac{6}{24}\) or \(\frac{1}{4}\) part or 25% of the room.
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
- How is the FTCE General Knowledge Test Scored?
- 3rd Grade K-PREP Math Worksheets: FREE & Printable
- 3rd Grade MAP Math Worksheets: FREE & Printable
- How to Discovering Patterns: Using Graphs to Find Rules
- Algebra Puzzle – Challenge 39
- 5 Best Classroom Speakers for Teachers in 2024
- Discovering the Magic of SSS and SAS Congruence in Triangles
- How to Use Area Models to Multiply One-Digit Numbers By Up to 4-digit Numbers
- Top 10 3rd Grade ACT Aspire Math Practice Questions
- The Consistent Player in Mathematics: How to Understand the Constant Rate of Change
What people say about "Ratio, Proportion and Percentages Puzzle -Critical Thinking 10 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.