Question

family maria is 11 inches shorter than her sister clara. luna is 11 inches shorter than her brother chad. if maria is shorter than luna, how do the heights of clara and chad compare? what else can be concluded if maria and luna are the same height? clara is shorter than select choice when select choice is shorter than luna; clara and chad are select choice when maria is the same height as select choice.

Explanation:

Step1: Define Variables

Let \( C \) = Clara's height, \( M \) = Maria's height, \( L \) = Luna's height, \( Ch \) = Chad's height.

Given:

• \( M = C - 11 \) (Maria is 11 in shorter than Clara)
• \( L = Ch - 11 \) (Luna is 11 in shorter than Chad)

Case 1: Maria and Luna same height (\( M = L \))

Substitute \( M = C - 11 \) and \( L = Ch - 11 \):
\( C - 11 = Ch - 11 \)
Add 11 to both sides: \( C = Ch \).
Conclusion: Clara and Chad are the same height when \( M = L \).

Case 2: Maria is shorter than Luna (\( M < L \))

Substitute \( M = C - 11 \), \( L = Ch - 11 \):
\( C - 11 < Ch - 11 \)
Add 11 to both sides: \( C < Ch \).
Conclusion: Clara is shorter than Chad when \( M < L \).

Case 3: Clara is shorter than [Who?] (Inferred from context: likely "Chad" or "Luna")

From \( M = C - 11 \), \( L = Ch - 11 \):
If \( M < L \), then \( C - 11 < Ch - 11 \implies C < Ch \) (Clara < Chad).
If \( M = L \), \( C = Ch \) (Clara = Chad).

Case 4: Clara and Chad [Comparison] when Maria = [Luna]

From \( M = L \implies C = Ch \) (Clara = Chad).

Answer:

(Assuming dropdown options relate to these conclusions, e.g.):

1. When Maria = Luna: Clara is the same height as Chad
2. When Maria < Luna: Clara is shorter than Chad
3. Clara is shorter than Chad (when \( M < L \))
4. Clara and Chad are the same height (when \( M = L \))

(Adjust based on actual dropdown choices, but the logical deductions follow the above steps.)