Six person p,q,r,s,t and u are in the same class each of them differnt weight in class,q is heavier rgan s ans ge is second hughest oerosn in group ,p is lighter than t who is heavier than r sum of q and t weight is equal to u .s is heavier than r vut lighter than t at least one oerson is lighter than r

We are tasked with determining the weight rankings of six individuals—P, Q, R, S, T, and U—based on the information given. Let's break it down systematically:

1. **Q is heavier than S and is the second heaviest in the group.**  
   This means only one person is heavier than Q.

2. **P is lighter than T, and T is heavier than R.**  
   This establishes that P is lighter than T, and T is heavier than R.

3. **The sum of Q and T's weights equals U's weight.**  
   Therefore, U is heavier than both Q and T combined.

4. **S is heavier than R but lighter than T.**  
   This means the weight order between R, S, and T is: \( R < S < T \).

5. **At least one person is lighter than R.**  
   This implies that R is not the lightest person in the group.

### Let's now create a possible ranking based on these statements:

- Since **Q is the second heaviest**, only **U** can be heavier than Q.
- We know that **U > Q** because U is the sum of Q's and T's weights.
- From the statements, **T > S > R** and **P is lighter than T**.
- **At least one person is lighter than R**, so P must be lighter than R.

### Based on this, the order of weights from heaviest to lightest could be:

\[
U > Q > T > S > R > P
\]

### Explanation:
1. **U** is the heaviest, as it is the sum of Q and T.
2. **Q** is the second heaviest, as stated.
3. **T** is heavier than S, and S is heavier than R.
4. **P** is lighter than R, satisfying the condition that R is not the lightest.

Does this ranking make sense to you, or would you like more clarification?

### Follow-up Questions:
1. Can you think of another possible ranking based on the conditions provided?
2. How would the ranking change if Q and T's weights were closer in value?
3. What if P was slightly heavier than R, but still lighter than S?
4. Can you create a numerical example that fits all these conditions?
5. How would you verify the sum condition \( Q + T = U \) in a practical scenario?

**Tip:** When solving such problems, create a list of facts and slowly place individuals in rank positions based on constraints.

Six person p,q,r,s,t and u are in the same class each of them different weight in class. q is heavier than s and q is the second heaviest person in group. p is lighter than t who is heavier than r. sum of q and t's weight is equal to u. s is heavier than r but lighter than t. at least one person is lighter than r.

Solve the logical ranking puzzle involving six individuals with different weights. Learn how to determine the order of their weights based on comparison statements. This problem enhances logical reasoning and inequality understanding, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation