Santiago Reid
12/18/2023 · Senior High School
A school event requires 4 adults for every 25 kids. 16 adults are available. How many kids can attend? Ex: \( 1- \) adults \( \times \frac{\text { Unit } \vee}{\text { Unit } v}= \) Ex: 5 kids
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Step-by-step Solution
To determine how many kids can attend the school event with the available adults, we can set up a proportion based on the given ratio of adults to kids.
The ratio provided is 4 adults for every 25 kids. We can express this as:
\[
\frac{4 \text{ adults}}{25 \text{ kids}} = \frac{16 \text{ adults}}{x \text{ kids}}
\]
Where \( x \) is the number of kids that can attend with 16 adults.
Now, we can cross-multiply to solve for \( x \):
\[
4 \cdot x = 25 \cdot 16
\]
Calculating the right side:
\[
25 \cdot 16 = 400
\]
So we have:
\[
4x = 400
\]
Now, divide both sides by 4 to solve for \( x \):
\[
x = \frac{400}{4} = 100
\]
Thus, the number of kids that can attend is:
\[
\boxed{100}
\]
Quick Answer
100 kids
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