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The owner of a ballroom dance studio has 8 locations in the Houston area. Each studio is a 30 foot by 30 ft. room. If each couple requires 72 inch by 72 inch area, what is a reasonable estimate for the total number of people the dance company can accommodate in the city of Houston for all of it's locations? ​

Sagot :

Answer: 400

Step-by-step explanation:

Area required by each couple = 72 inch by 72 inch

= 6 feet by 6 feet   [ 1 feet = 12 inches and [tex]72\text{ inches}=\dfrac{72}{12}\text{ feet}=6 \text{ feet}[/tex]]

= 36 square feet

Area in each studio = 30 ft by 30 ft = 900 square feet

Then, Area of 8 studios in Houstan = 8 x (900 feet) = 7200feet

Total couple the dance company can accommodate in the city of Houston for all of it's locations = [tex]\dfrac{7200}{36}=200[/tex]

Total people = 2 x (Total couples)= 2 x 200=400

Hence, a reasonable estimate for the total number of people the dance company can accommodate in the city of Houston for all of it's locations = 400