Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, how wide is the actual stage? Enter your answer with units.

Respuesta :

Answer:

20 feet

Step-by-step explanation:

The scale is 3 inches is to 2 feet

As a ratio, it would be:

[tex]\dfrac{3}{2}[/tex]

The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:

[tex]\dfrac{3inches}{2feet} = \dfrac{30inches}{xfeet}[/tex]

Now to find the missing number, cross multiply the fractions first:

[tex]\dfrac{3}{2}=\dfrac{30}{x}[/tex]

[tex](3)(x)=(2)(30)[/tex]

[tex]3x=60[/tex]

Then solve for x:

[tex]3x=60[/tex]

[tex]x=\dfrac{60}{3}[/tex]

[tex]x=20[/tex]

The answer is 20 feet

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