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{\square}{100} = \frac{\square\text{ animals that drooled}}{\square\text{ total animals}}
\square = 100(\square)
\square = n

Explanation:

Step1: Set up the proportion

Let the proportion be \(\frac{25}{100}=\frac{17}{n}\) (assuming the original ratio was \(25:100\) and we are comparing to \(17:n\)).

Step2: Use cross - multiplication (means and extremes)

Cross - multiply: \(25n = 100\times17\).

Step3: Solve for \(n\)

First, calculate \(100\times17 = 1700\). Then, \(n=\frac{1700}{25}=68\).

Answer:

\(\frac{25}{100}=\frac{17}{n}\), \(25n = 100\times17\), \(n = 68\)