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levi measured the auditorium and made a scale drawing. he used the scal…

Question

levi measured the auditorium and made a scale drawing. he used the scale 23 inches : 8 feet. if the actual width of the stage is 16 feet, how wide is the stage in the drawing? inches

Explanation:

Step1: Set up proportion

Let $x$ be the width of the stage in the drawing. The proportion is $\frac{23}{8}=\frac{x}{16}$.

Step2: Cross - multiply

$8x = 23\times16$.

Step3: Calculate the right - hand side

$23\times16=368$, so $8x = 368$.

Step4: Solve for $x$

$x=\frac{368}{8}=46$.

Answer:

46