Multiple choice

Find the value of quantities and state the correct relationship.\newline Quantity I: The age of teacher, if the average age of 38 students is 16. When teacher’s age is included the average increases by 1.\newline Quantity II: The age of teacher, if the average age of 21 students is 37. When teacher’s age is included the average increases by 1/2.\newline

  1. Quantity II ≥ Quantity I

  2. Quantity I < Quantity II

  3. Quantity I > Quantity II

  4. Quantity II ≤ Quantity I

  5. Relation cannot be established or Quantity I = Quantity II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Teacher adds (17-16)×39 = 39 years to total, so age = 16 + 39 = 55. Quantity II: Teacher adds (37.5-37)×22 = 11 years to total, so age = 37 + 10.5 = 47.5. Therefore 55 > 47.5, so Quantity I > Quantity II.

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