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

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What’s inside this PDF?

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 11?

Options:

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

Correct Answer: 4 and 7

Solution:

Let the smaller team have x members. 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

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 11?

4 and 7
5 and 6
3 and 8
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 friends is 11?

Step 1: Let the smaller team have 'x' members.
Step 2: Since the larger team has 3 more members than the smaller team, it will have 'x + 3' members.
Step 3: The total number of friends is 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 solve for 'x', first 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 find 'x': x = 8 / 2, which gives x = 4.
Step 7: The smaller team has 4 members, so the larger team has 4 + 3 = 7 members.
Step 8: Therefore, the teams have 4 members and 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.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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