Five friends play blackjack in Las Vegas and lose an average

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sun Jul 14, 2019 7:48 pm

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Five friends play blackjack in Las Vegas and lose an average of $100 each. If the losses of two of the friends total $380, what is the average loss of the other friends?

A. $40
B. $60
C. $100
D. $120
E. $1,900

OA A

Source: Princeton Review

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Source: Beat The GMAT — Problem Solving | Sun Jul 14, 2019 7:48 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Mon Jul 15, 2019 6:36 am

BTGmoderatorDC wrote:Five friends play blackjack in Las Vegas and lose an average of $100 each. If the losses of two of the friends total $380, what is the average loss of the other friends?

A. $40
B. $60
C. $100
D. $120
E. $1,900

Let A, B, C, D and E represent the LOSSES (in dollars) of the 5 friends

Five friends play blackjack in Las Vegas and lose an average of $100 each.
So, we can write: (A+B+C+D+E)/5 = 100
Multiply both sides by 5 to get: A+B+C+D+E = 500

If the losses of two of the friends total $380, what is the average loss of the other friends?
We can write: A+B = 380

Take: A+B+C+D+E = 500 and replace A+B with 380
We get: 380 + (C+D+E) = 500
Subtract 380 from both sides to get: C+D+E = 120

So, the AVERAGE loss of C, D and E (the other friends) = (C+D+E)/3 = 120/3 = 40

Answer: A

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Mon Jul 15, 2019 9:57 am

average loss: $100= 380+\frac{3x}{5}$
solve for $x$ we get: $x=40$

So the average loss of other friends: $\frac{120}{3}= 40\$\Rightarrow$ option __A__

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8177; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Fri Jul 26, 2019 11:08 am

BTGmoderatorDC wrote:Five friends play blackjack in Las Vegas and lose an average of $100 each. If the losses of two of the friends total $380, what is the average loss of the other friends?

A. $40
B. $60
C. $100
D. $120
E. $1,900

OA A

Source: Princeton Review

The total loss of all the friends is 500 dollars. Since two friends lost 380 dollars, the remaining 3 friends lost a total of 500 - 380 = 120 dollars, or an average of 120/3 = 40 dollars.

Answer: A

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