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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 friends is 15?

Options:

  1. 6 and 9
  2. 7 and 8
  3. 5 and 10
  4. 4 and 11

Correct Answer: 7 and 8

Solution: 

Let x be the number of members in the smaller team. Then the larger team has x + 3 members. The equation is x + (x + 3) = 15, which simplifies to 2x + 3 = 15. Solving gives x = 6, so the teams have 6 and 9 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 friends is 15?
  1. 6 and 9
  2. 7 and 8
  3. 5 and 10
  4. 4 and 11

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 friends is 15?
  • Step 1: Understand that there are two teams of friends.
  • Step 2: Let 'x' be the number of members in the smaller team.
  • Step 3: Since the larger team has 3 more members, it will have 'x + 3' members.
  • Step 4: The total number of friends is 15, so we can write the equation: x + (x + 3) = 15.
  • Step 5: Simplify the equation: Combine like terms to get 2x + 3 = 15.
  • Step 6: Subtract 3 from both sides of the equation: 2x = 15 - 3, which simplifies to 2x = 12.
  • Step 7: Divide both sides by 2 to find 'x': x = 12 / 2, which gives x = 6.
  • Step 8: Now, find the number of members in the larger team: x + 3 = 6 + 3, which equals 9.
  • Step 9: Therefore, the smaller team has 6 members and the larger team has 9 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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