Math Problem Statement

Jack, Ryan, and Susan study in three different schools and scored the following marks in a math test: Jack scored 40/60, Ryan scored 33/55, and Susan scored 52/65. Can you identify and tell who has performed better?

Solution

To determine who performed better, we need to compare the scores of Jack, Ryan, and Susan based on their marks out of a certain total.

Let's break down the scores:

  1. Jack scored 40/60.
  2. Ryan scored 33/55.
  3. Susan scored 52/65.

Now, let's calculate the percentage of marks for each:

  1. Jack's percentage: 4060×100=66.67%\frac{40}{60} \times 100 = 66.67\%
  2. Ryan's percentage: 3355×100=60%\frac{33}{55} \times 100 = 60\%
  3. Susan's percentage: 5265×100=80%\frac{52}{65} \times 100 = 80\%

Conclusion: Based on the percentage scores, Susan performed the best, followed by Jack, and Ryan performed the least well.

Would you like more details or have any questions?

Here are some related questions you might find useful:

  1. How do you convert scores into percentages?
  2. How can we compare performance when the total marks are different for each person?
  3. What are the advantages of using percentages for comparison?
  4. Can we compare these scores if they were weighted differently?
  5. How do we calculate the difference in performance between two people based on their percentage?

Tip: Always convert scores to percentages to make comparisons easier, especially when the maximum marks vary.

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Math Problem Analysis

Mathematical Concepts

Fractions
Percentages
Comparison of values

Formulas

Percentage = (Obtained Marks / Total Marks) × 100

Theorems

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Suitable Grade Level

Grades 5-7