Ratio, Proportion and Percentages Puzzle -Critical Thinking 10
This is another fun critical thinking puzzle to encourage logic and problem-solving.
![Ratio, Proportion and Percentages Puzzle -Critical Thinking 10](https://www.effortlessmath.com/wp-content/uploads/2020/04/Critical-Thinking-10-512x240.jpg)
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!
![](https://www.effortlessmath.com/wp-content/uploads/2020/04/answer.png)
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
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 Apply Trigonometry to General Triangles?
- Subtraction of Amounts of Money
- Differentiability: Everything You Need To Know
- 10 Most Common ACT Math Questions
- Top 10 3rd Grade STAAR Math Practice Questions
- FREE 6th Grade Common Core Math Practice Test
- Top 10 Tips to Overcome ASVAB Math Anxiety
- Top 10 4th Grade Georgia Milestones Assessment System Math Practice Questions
- How to Prepare for the Praxis Core Math Test?
- 10 Most Common 5th Grade STAAR Math Questions
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.