Mr. Thompson has been asked to add storage space to a garage. He estimates 6 square feet per individual will be required to meet the needs of 12 people. If the storage space is 15% of the total amount of space required, how much total space does Mr. Thompson have?
To find the total amount of space Mr. Thompson has, we need to calculate the storage space required for 12 people and then divide it by 15% to determine the total space.
1. Calculate the storage space required for 12 people:
Total storage space = 6 square feet x 12 people
= 72 square feet
2. Determine the total space (including storage) based on the storage space required:
Total space = Total storage space ÷ 15%
= 72 square feet ÷ 0.15
= 480 square feet
Therefore, Mr. Thompson has a total space of 480 square feet.
To determine the total amount of space required, we need to calculate the storage space needed per individual by multiplying the area per individual by the number of people.
Area per individual = 6 square feet
Number of people = 12
Total storage space required = Area per individual * Number of people
= 6 square feet * 12
= 72 square feet
Since the storage space is 15% of the total space, we can calculate the total space by dividing the storage space by 15% (or multiplying by 100/15).
Total space = Total storage space required / 15%
= 72 square feet / (15/100)
= 72 square feet / (0.15)
= 480 square feet
Therefore, Mr. Thompson has a total space of 480 square feet.
12 x 6 = 72 req, space needed
x = total space
.15x = 72
x = 480