Question

a model building set contains 4 doors and 12 windows. a deluxe version of the set contains a total of 80 doors and windows. the ratio of doors to windows must be the same in both sets. how many doors and windows are in the deluxe building set?

select an answer
a. 16 doors and 48 windows
b. 20 doors and 60 windows
c. 12 doors and 60 windows
d. 24 doors and 48 windows

Explanation:

Determine the ratio of doors to windows

$$ \text{Ratio} = \frac{\text{doors}}{\text{windows}} = \frac{4}{12} = \frac{1}{3} $$

Set up the system of equations for the deluxe set

$$
LATEXBLOCK0
$$

Solve for the number of doors and windows

$$
LATEXBLOCK1
$$

Answer:

• (A) 16 doors and 48 windows
• (B) 20 doors and 60 windows (Correct answer)
• (C) 12 doors and 60 windows
• (D) 24 doors and 48 windows