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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.

Finding Unknowns

         

The ratio 2 to 3 is equivalent to the ratio \( 12 : N \). What is the value of \(N\)?

For what value of \(N\) do we have

\[ 5 : 8 = 25 : N ? \]

For what value of \(N\) do we have

\[ 2 : 7 = 6 : N ? \]

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 \(a\)?

For what value of \(N\) do we have

\[ 10 : 16 = 40 : N ? \]

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