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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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