Solve 700-Level Algebra Qs In 90 Secs!
Master 700-level Inequalities and Absolute Value Questions

Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.

FREE GMAT ALGEBRA WEBINAR
Live: 4th June 2023, 7am-9am PST
Presented by e-GMAT

## 7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team

##### This topic has expert replies
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

### 7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team

by BTGmoderatorDC » Fri Feb 10, 2023 4:56 pm

00:00

A

B

C

D

E

## Global Stats

7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7

OA E

Source: Manhattan Prep

### GMAT/MBA Expert

GMAT Instructor
Posts: 16201
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

### Re: 7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no te

by [email protected] » Tue Feb 14, 2023 8:13 am
BTGmoderatorDC wrote:
Fri Feb 10, 2023 4:56 pm
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7

OA E

Source: Manhattan Prep
The first thing we should recognize is that, if each of the 7 teams get their maximum of 3 wins each, then the total number of wins is 21.

So, the ONLY WAY to distribute 20 wins among 7 teams is for six teams to get 3 wins and one team to get 2 wins.

For example:
Team 1: 3 wins
Team 2: 3 wins
Team 3: 3 wins
Team 4: 3 wins
Team 5: 3 wins
Team 6: 3 wins
Team 7: 2 wins.

So, the minimum possible number of teams that won at least one event must equal 7