Joe's softball team was in a tournament. if a team lost one game they were eliminated. his team won the tournament, defeating four other teams. how many teams were entered in the tournament?

5 teams

Step-by-step explanation:

Given : Joe's softball team was in a tournament.  

           If a team lost one game they were eliminated.

           His team won the tournament, defeating four other teams.

To Find: How many teams were entered in the tournament?

Solution:

Let Team B be the Joe's softball team

Since we are given that  His team won the tournament, defeating four other teams.

Team B played first match with Team A

So, Team B won the match.

So, Team A got eliminated.

So, Team B defeated the one team.

Now , Team B played match with Team C

So, Team B won the match.

So, Team C got eliminated.

So, Team B defeated the two teams.

Now , Team B played match with Team D

So, Team B won the match.

So, Team D got eliminated.

So, Team B defeated the three teams.

Now , Team B played match with Team E

So, Team B won the match.

So, Team E got eliminated.

So, Team B defeated the four teams.

Thus there are total five teams : Team A , Team B , Team C , Team D and Team E .

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

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