Question

the organizers of the deer creek music festival expected 1,200 people at the opening show. as a result of perfect weather, their prediction was 20% less than the actual attendance. what was the actual attendance at the opening show?
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Explanation:

Step1: Define the relationship

Let the actual attendance be $x$. The predicted attendance (1200) is 20% less than the actual attendance, so the predicted attendance is $(1 - 0.20)x = 0.8x$.

Step2: Solve for x

We know that $0.8x = 1200$. To find $x$, we divide both sides of the equation by 0.8: $x=\frac{1200}{0.8}$.
Calculating $\frac{1200}{0.8}$, we get $x = 1500$.

Answer:

1500