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I NEED HELPPPP HERES THE QUESTION

A total of 114 people singed up to play in a basketball tournament . There are 3 people in a team. Will everyone who has singed up have a spot on the 3 player team? EXPLAIN

User Dojuba
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2 Answers

5 votes

Final answer:

Everyone who signed up for the basketball tournament will have a spot on a 3-player team because 114 people divided by 3 people per team equals exactly 38 teams with no remainder.

Step-by-step explanation:

If 114 people signed up for a basketball tournament and there are 3 people on each team, we can determine whether everyone will have a spot on a team by dividing the total number of people by the number of people on each team.

So, we do the math: 114 ÷ 3 = 38.

This tells us that there can be exactly 38 teams of 3 players, with no players left out.

Therefore, everyone who signed up will have a spot on one of the 3-player teams, as the total divides evenly by 3 without any remainder.

User Divestoclimb
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8.9k points
3 votes

Answer:

Yes, everyone who has signed up will have a spot on a 3-player team.

Step-by-step explanation:

If there are 114 people signed up to play in a basketball tournament, and each team consists of 3 players, we can determine how many teams can be formed and whether everyone will have a spot on a team.

The number of teams (
\sf N) is given by dividing the total number of people by the number of players per team:


\sf N = \frac{\textsf{Total number of people}}{\textsf{Number of players per team}}


\sf N = (114)/(3)


\sf N = 38

So, there are 38 teams that can be formed. However, since each team consists of 3 players, the total number of players on all teams is
\sf 38 * 3 = 114, which is equal to the total number of people signed up.

Therefore, everyone who has signed up will have a spot on a 3-player team, and there will be no one left without a team. Each person will be part of a team in the basketball tournament.

User Tom Cornebize
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8.1k points