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In a distribution problem, if the total number of items is 50 and the constraint

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Question: In a distribution problem, if the total number of items is 50 and the constraints require that at least 10 items go to group A, how many items can go to group B at most?

Options:

  1. 40
  2. 30
  3. 50
  4. 10

Correct Answer: 40

Solution: 

If at least 10 items go to group A, then at most 50 - 10 = 40 items can go to group B.

In a distribution problem, if the total number of items is 50 and the constraint

Practice Questions

Q1
In a distribution problem, if the total number of items is 50 and the constraints require that at least 10 items go to group A, how many items can go to group B at most?
  1. 40
  2. 30
  3. 50
  4. 10

Questions & Step-by-Step Solutions

In a distribution problem, if the total number of items is 50 and the constraints require that at least 10 items go to group A, how many items can go to group B at most?
  • Step 1: Identify the total number of items, which is 50.
  • Step 2: Understand the constraint that at least 10 items must go to group A.
  • Step 3: Calculate how many items are left after giving 10 items to group A by subtracting 10 from 50.
  • Step 4: Perform the calculation: 50 - 10 = 40.
  • Step 5: Conclude that the maximum number of items that can go to group B is 40.
  • Distribution Problems – Understanding how to allocate a fixed number of items among different groups while adhering to given constraints.
  • Inequalities – Applying basic arithmetic to determine maximum and minimum values based on constraints.
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