Question

A.Suntrust Bank approved Bob for a mortgage loan of $135,000. In order for him to receive the funds, he must make a down payment of 18%. How much money must he have for the down payment? Be sure to include the dollar sign in your answer

B. One person takes up about 3 square feet of space. Use this value to estimate how many people can fit in an area that is 290 feet wide and 230 feet long.


C. A storage closet is a rectangle, and has a length of 15 feet, width of 10 feet, and a height of 9 feet. Joe wants to store boxes in the closet. Each box has a length of 2 feet, a width of 1.5 feet, and a height of 1 foot. How many boxes can he ideally fit into the closet?




it's a 3 Part Question

Answer 1

`\boxed{\text{A. \$24 300; B. 22 333 people; C. 450 boxes}}`

Explanation:

A. Sunkist Bank

To get 18 % of a number, multiply by ¹⁸/₁₀₀ or 0.18.

`\text{Down payment} = \$135 000 * 0.18 = \mathbf{\$24 300}\\\text{Bob's down payment is } \boxed{\textbf{\$24 300}}`

B. Number of people

(1) Calculate the area

A = lw = 290 ft × 230 ft = 66 700 ft²

(2) Calculate the number of people

You can fit 1 person into 3 ft² of space.

`\text{Number of people} = \text{66 700 ft}^(2) * \frac{\text{1 person}}{\text{300 ft}^(2)} = \textbf{22 333 people}\\\\\text{The space will hold $\boxed{\textbf{22 333 people}}$}`

C. Number of boxes

(1) Volume of closet

V = lwh = 15 ft × 10 ft × 9 ft = 1350 ft³

(2) Volume of a box

V = lwh = 2 ft × 1.5 ft × 1 ft = 3 ft³

(3) Number of boxes

`\text{Number of boxes} = \text{1350 ft}^(3) * \frac{\text{1 box }}{\text{3 ft}^(3)} = \textbf{450 boxes}\\\\\text{Ideally, Bob can fit $\boxed{\textbf{450 boxes}}$ into the closet}`