In planning the opening of your restaurant, you estimate that the restaurant's total area should allow each customer 20 square feet of dining space. Of the planned space, you hope to utilize one-third of the total space for the kitchen and storage.
Seating capacity = 90
Area of dining room = ______ sq. ft.
Area of kitchen and storage (to the nearest sq. ft.) = _______ sq. ft.
1800... how do I solve the other?
Seating capacity = 90
Area of dining room = ___1800___ sq. ft.
Area of kitchen and storage (to the nearest sq. ft.) = ___600____ sq. ft.
To find the area of the dining room, we can start by multiplying the seating capacity by the square footage per customer.
Area of dining room = Seating capacity * Square footage per customer
Given that the seating capacity is 90 and each customer should have 20 square feet of dining space, we can substitute these values into the formula:
Area of dining room = 90 * 20
Simplifying this equation, we get:
Area of dining room = 1800 square feet
Therefore, the area of the dining room is 1800 square feet.
Next, we need to find the area of the kitchen and storage. It is mentioned that one-third of the total space will be utilized for the kitchen and storage. To calculate this area, we can first find the total area and then determine one-third of it.
Total space = Area of dining room + Area of kitchen and storage
Given that the area of the dining room is 1800 square feet, we can substitute this value into the formula:
Total space = 1800 + Area of kitchen and storage
We know that one-third of the total space will be used for the kitchen and storage. Therefore:
Area of kitchen and storage = 1/3 * Total space
Substituting the value of the total space, we get:
Area of kitchen and storage = 1/3 * (1800 + Area of kitchen and storage)
Now, we can solve this equation to find the area of the kitchen and storage. First, we multiply 1/3 by 1800:
Area of kitchen and storage = 600 + 1/3 * Area of kitchen and storage
Next, we can move the 1/3 * Area of kitchen and storage term to the left side of the equation:
Area of kitchen and storage - 1/3 * Area of kitchen and storage = 600
Simplifying this equation, we get:
2/3 * Area of kitchen and storage = 600
To solve for the area of the kitchen and storage, we can divide both sides of the equation by 2/3:
Area of kitchen and storage = 600 / (2/3)
Dividing 600 by 2/3, we get:
Area of kitchen and storage = 900 square feet (to the nearest square foot)
Therefore, the area of the kitchen and storage is 900 square feet.