Answer:
[tex]\boxed{\text{A. \$24 300; B. 22 333 people; C. 450 boxes}}[/tex]
Step-by-step explanation:
A. Sunkist Bank
To get 18 % of a number, multiply by ¹⁸/₁₀₀ or 0.18.
[tex]\text{Down payment} = \$135 000 \times 0.18 = \mathbf{\$24 300}\\\text{Bob's down payment is } \boxed{\textbf{\$24 300}}[/tex]
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.
[tex]\text{Number of people} = \text{66 700 ft}^{2} \times \dfrac{\text{1 person}}{\text{300 ft}^{2}} = \textbf{22 333 people}\\\\\text{The space will hold $\boxed{\textbf{22 333 people}}$}[/tex]
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
[tex]\text{Number of boxes} = \text{1350 ft}^{3} \times \dfrac{\text{1 box }}{\text{3 ft}^{3}} = \textbf{450 boxes}\\\\\text{Ideally, Bob can fit $\boxed{\textbf{450 boxes}}$ into the closet}[/tex]
