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Ratio, Rate, and Proportion
If it takes 5 identical firetrucks 5 minutes to pump 5 kiloliters of water onto a fire, how long will it take 8 firetrucks pump 8 kiloliters? Hint: the answer isn't 8 minutes.
Excel in math and science
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Concept Quizzes
The ratio 2 to 3 is equivalent to the ratio \( 12 : N \). What is the value of \(N\)?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
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That seems reasonable.
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by Brilliant Staff
For what value of \(N\) do we have
\[ 5 : 8 = 25 : N ? \]
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
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examples, and problems from the community.
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That seems reasonable.
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by Brilliant Staff
For what value of \(N\) do we have
\[ 2 : 7 = 6 : N ? \]
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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by Brilliant Staff
If \(x\) satisfies both the proportional expression \((x-5):(x+4)=2:3\) and the linear equation \(\frac{1}{3}(x-2)=\frac{3-x}{4}-(3-a)\), what is the value of the constant \(a\)?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
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That seems reasonable.
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by Brilliant Staff
For what value of \(N\) do we have
\[ 10 : 16 = 40 : N ? \]
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
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including olympiad champions, researchers, and professionals.
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That seems reasonable.
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by Brilliant Staff