Question

to determine a ratio equivalent to the known ratio in this problem, scale down by 4
amia had 17 animals drool on her.
set up a proportion and use n for the unknown. then solve using means and extremes.
\\(\frac{68}{100} = \frac{n}{25}\\) (animals that drooled over total animals)
\\(\square = 100(\square)\\)
\\(\square = n\\)

Explanation:

Step1: Apply cross - multiplication (means and extremes)

For the proportion \(\frac{68}{100}=\frac{n}{25}\), by the property of cross - multiplication (if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)), we get \(68\times25=100\times n\).

Step2: Solve for \(n\)

First, calculate \(68\times25 = 1700\). So the equation becomes \(1700 = 100n\). Then divide both sides of the equation by \(100\): \(n=\frac{1700}{100}\).

Answer:

\(17\)