Ratio, Proportion and Percentages Puzzle -Critical Thinking 10
Ratio, Proportion and Percentages Puzzle -Critical Thinking 10: this Effortless Math guide explains the topic in plain language, shows how it works through solved examples, and gives you free practice to try immediately, so the idea sticks instead of staying abstract.
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?
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The correct answer is 25%.
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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.
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