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If a group of friends is divided into two teams, and one team has 3 more members

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Question: If a group of friends is divided into two teams, and one team has 3 more members than the other, how many members are in each team if the total number of members is 11?

Options:

  1. 4 and 7
  2. 5 and 6
  3. 3 and 8
  4. 2 and 9

Correct Answer: 4 and 7

Solution: 

Let the number of members in the smaller team be x. Then the larger team has x + 3 members. The equation is x + (x + 3) = 11, which simplifies to 2x + 3 = 11. Solving gives x = 4, so the teams have 4 and 7 members.

If a group of friends is divided into two teams, and one team has 3 more members

Practice Questions

Q1
If a group of friends is divided into two teams, and one team has 3 more members than the other, how many members are in each team if the total number of members is 11?
  1. 4 and 7
  2. 5 and 6
  3. 3 and 8
  4. 2 and 9

Questions & Step-by-Step Solutions

If a group of friends is divided into two teams, and one team has 3 more members than the other, how many members are in each team if the total number of members is 11?
  • Step 1: Let the number of members in the smaller team be represented by 'x'.
  • Step 2: Since the larger team has 3 more members than the smaller team, we can represent the larger team as 'x + 3'.
  • Step 3: The total number of members in both teams is given as 11. So, we can write the equation: x + (x + 3) = 11.
  • Step 4: Simplify the equation: Combine like terms to get 2x + 3 = 11.
  • Step 5: To isolate '2x', subtract 3 from both sides of the equation: 2x = 11 - 3, which simplifies to 2x = 8.
  • Step 6: Now, divide both sides by 2 to solve for 'x': x = 8 / 2, which gives x = 4.
  • Step 7: Now that we have 'x', we can find the number of members in each team: the smaller team has 4 members, and the larger team has 4 + 3 = 7 members.
  • Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on a word problem.
  • Understanding Relationships – It assesses the understanding of relationships between quantities, specifically how to express one quantity in terms of another.
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