Question:
An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?
An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?
Updated On: Jul 30, 2025
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- 14
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The Correct Option is A
Solution and Explanation
Step 1: Known information
- Maximum weight capacity: \( 630 \ \text{kg} \)
- Heaviest person’s weight: \( 57 \ \text{kg} \)
- Lightest person’s weight: \( 53 \ \text{kg} \)
To maximize the number of people, assume each person weighs the minimum possible weight: \( 53 \ \text{kg} \).
Step 2: Inequality for total weight
Let \( n \) = number of people. The weight constraint is: \[ 53n \leq 630 \]
Step 3: Solve for \( n \)
\[ n \leq \frac{630}{53} \approx 11.88 \] Since \( n \) must be an integer: \[ n = 11 \]
Final Answer:
\[ \boxed{\text{Maximum number of people} = 11} \]
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