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# Tom, Dorothy, and Sammy went on a vacation and agreed to split the cos

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Senior Manager
Status: Manager
Joined: 02 Nov 2018
Posts: 280
Tom, Dorothy, and Sammy went on a vacation and agreed to split the cos  [#permalink]

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20 Mar 2019, 04:19
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Difficulty:

5% (low)

Question Stats:

100% (01:38) correct 0% (00:00) wrong based on 21 sessions

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Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid \$105, Dorothy paid \$125, and Sammy paid \$175. In order to share the costs equally, Tom gave Sammy t dollars, and Dorothy gave Sammy d dollars. What is t − d ?

(A) 15

(B) 20

(C) 25

(D) 30

(E) 35
Manager
Joined: 19 Jan 2019
Posts: 110
Tom, Dorothy, and Sammy went on a vacation and agreed to split the cos  [#permalink]

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20 Mar 2019, 04:35
Tom paid \$105
Dorothy paid \$125
Sammy paid \$175...

In order to share the cost of the vacation evenly, all the three must contribute equal amounts i.e (105+125+175)/3 = \$135

Tom has to pay Sammy "t" (135-105) = \$30
Dorothy has to pay Sammy "d" (135-125) = \$10
t - d = \$20

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Senior Manager
Joined: 25 Feb 2019
Posts: 335
Re: Tom, Dorothy, and Sammy went on a vacation and agreed to split the cos  [#permalink]

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20 Mar 2019, 05:40
IMO B.

avrage cost = 135
tommy to Sammy = 30
dorothy to sammy = 10

so difference = 30-10 = 20

IMO B

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Director
Joined: 27 May 2012
Posts: 947
Re: Tom, Dorothy, and Sammy went on a vacation and agreed to split the cos  [#permalink]

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17 May 2019, 04:43
m1033512 wrote:
IMO B.

avrage cost = 135
tommy to Sammy = 30
dorothy to sammy = 10

so difference = 30-10 = 20

IMO B

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Something I am not able to understand in this question, Sam has paid the highest of the three , so for all three to pay equal , Sam has to give rather than receive. If the average is 135 and Sam has already paid 175, then how does paying more money to Sam equalize the money.
In order for all three to pay equal, Sam has to give some money and not receive, I think.
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- Stne
Re: Tom, Dorothy, and Sammy went on a vacation and agreed to split the cos   [#permalink] 17 May 2019, 04:43
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