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In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall?
Most Upvoted Answer
In a class of 5 student, the average weight of the 4 lightest students...
And minimum possible weight of the fifth student?
Let's call the weight of the fifth student "x".
Since the average weight of the 4 lightest students is 40 kg, the total weight of those 4 students is 4 * 40 = 160 kg.
Similarly, since the average weight of the 4 heaviest students is 45 kg, the total weight of those 4 students is 4 * 45 = 180 kg.
We want to find the difference between the maximum and minimum possible weight of the fifth student, which means we want to find the range of values that "x" could be.
The maximum possible weight of the fifth student would occur if they were heavier than all of the other students, so we can add up the total weight of all 5 students and subtract the weight of the 4 lightest students:
Total weight of 5 students = 4 * 40 + 4 * 45 = 320 kg
Maximum weight of fifth student = 320 - 160 = 160 kg
The minimum possible weight of the fifth student would occur if they were lighter than all of the other students, so we can subtract the weight of the 4 heaviest students from the total weight of all 5 students:
Total weight of 5 students = 4 * 40 + 4 * 45 = 320 kg
Minimum weight of fifth student = 320 - 180 = 140 kg
Therefore, the difference between the maximum and minimum possible weight of the fifth student is:
160 kg - 140 kg = 20 kg
Let's call the weight of the fifth student "x".
Since the average weight of the 4 lightest students is 40 kg, the total weight of those 4 students is 4 * 40 = 160 kg.
Similarly, since the average weight of the 4 heaviest students is 45 kg, the total weight of those 4 students is 4 * 45 = 180 kg.
We want to find the difference between the maximum and minimum possible weight of the fifth student, which means we want to find the range of values that "x" could be.
The maximum possible weight of the fifth student would occur if they were heavier than all of the other students, so we can add up the total weight of all 5 students and subtract the weight of the 4 lightest students:
Total weight of 5 students = 4 * 40 + 4 * 45 = 320 kg
Maximum weight of fifth student = 320 - 160 = 160 kg
The minimum possible weight of the fifth student would occur if they were lighter than all of the other students, so we can subtract the weight of the 4 heaviest students from the total weight of all 5 students:
Total weight of 5 students = 4 * 40 + 4 * 45 = 320 kg
Minimum weight of fifth student = 320 - 180 = 140 kg
Therefore, the difference between the maximum and minimum possible weight of the fifth student is:
160 kg - 140 kg = 20 kg
Community Answer
In a class of 5 student, the average weight of the 4 lightest students...
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In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall?
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In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall?.
In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 5 student, the average weight of the 4 lightest students is 40 kg, average weight of the 4 heaviest students is 45 kg. What is the difference between the maximum & minimum possible average weight overall?.
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