Question

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.

Answer 1

Answer:

20 feet

Step-by-step explanation:

The scale is 3 inches is to 2 feet

As a ratio, it would be:

$\dfrac{3}{2}$

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:

$\dfrac{3inches}{2feet} = \dfrac{30inches}{xfeet}$

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

$\dfrac{3}{2}=\dfrac{30}{x}$

$(3)(x)=(2)(30)$

$3x=60$

Then solve for x:

$3x=60$

$x=\dfrac{60}{3}$

$x=20$

The answer is 20 feet