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A strip mall in Dallas has store space in several different sizes. There are eight 300-square-foot stores, one 800-square-foot store, and one 900-square-foot store. Two of the 300-square-foot stores are vacant. The others are occupied. What is the ratio of vacant space to occupied space? What percent of the space is occupied?

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Answer:

Part 1: "What is the ratio of vacant space to occupied space?"  [tex]\frac{6}{35}[/tex]

Part 2: "What percent of the space is occupied?"  85.37%


Step-by-step explanation:


1st part:

Total square foot = (8*300) + (1*800) + (1*900) = 4100 sq. feet

Vacant Space = 2*300=600

Occupied Space = 4100 - 600 = 3500


Thus ratio of vacant space to occupied space = [tex]\frac{600}{3500}=\frac{6}{35}[/tex]


2nd part:

To find % of occupied space, we need to divide occupied space (in sq ft.) by the total square feet and then multiply by 100 (since we want the percentage):

[tex]\frac{3500}{4100}=0.8537=85.37[/tex]

Occupied space is 85.37%

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