A team composed of Boris and Fiona sold souvenir programs for $3 each

Question

A team composed of Boris and Fiona sold souvenir programs for $3 each at two performances of a local band on a particular day. There was an afternoon and an evening performance that day. Boris sold as many programs at the afternoon performance as Fiona did at the evening performance. Fiona sold as many programs in the afternoon as Boris did in the evening. Together, they sold $1,500 worth of programs.

Let X denote the total number of programs Boris sold that day, and let Y denote the total number of programs the team sold in the afternoon.

In the table, identify the value of X and the value of Y. Make only two selections, one in each column.

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Official Answer

X: 250 Y: 250

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Bunuel · Answer

Can you please provide a screenshot of the question? I will edit the topic, add the OA and move the correct forum Thank you.

cjcalero24 · Answer

https://gmatclub.com/forum/download/file.php?id=83100 GMAT-Club-Forum-vlkdfsv5.png

Bunuel · Answer

Moved to the TPA forum and formatted properly. Thank you! GMAT-Club-Forum-cem4wcta.png

ShilpiAgnihotrii · Answer

Its easy to work with if we understand what the tricky wording of the statement implies

So, total no. of programs sold by Boris and Fiona = 1500/3 = 500

As per the statemenet Boris sold as many programs at the afternoon performance as Fiona did at the evening performance

AND

Fiona sold as many programs in the afternoon as Boris did in the evening.

Only 2 possibilities with total programs as 500

Boris Fiona
Afternoon 150 100
Evening 100 150

Boris Fiona
Afternoon 200 50
Evening 50 200

So no. of programs the team sold in afternoon is 250 = Y
and total no. of programs Boris sold that days is 250 = X

KK12333 · Answer

3x + 3x = 1500 Since x and y is same and 3 is the rate each. X = y = 250

MartyMurray · Answer

A team composed of Boris and Fiona sold souvenir programs for $3 each at two performances of a local band on a particular day. There was an afternoon and an evening performance that day. Boris sold as many programs at the afternoon performance as Fiona did at the evening performance. Fiona sold as many programs in the afternoon as Boris did in the evening. Together, they sold $1,500 worth of programs.

Let X denote the total number of programs Boris sold that day, and let Y denote the total number of programs the team sold in the afternoon. In the table, identify the value of X and the value of Y. Make only two selections, one in each column.

Total number of programs sold: $1,500/$3 = 500

Since Boris sold as many programs at the afternoon performance as Fiona did at the evening performance and Fiona sold as many programs in the afternoon as Boris did in the evening, Boris and Fiona sold equal numbers of programs.

Thus, X = 500/2 = 250.

Also, since Boris sold as many programs at the afternoon performance as Fiona did at the evening performance and Fiona sold as many programs in the afternoon as Boris did in the evening, equal numbers of programs were sold in the afternoon and in the evening.

Thus, Y = 500/2 = 250.

Correct answer:   250 ,  250

rithon · Answer

Let's: 
a denotes the number of places sold on the afternoon
b denotes the number of places sold on the evening 
we know from the text that: Boris sold as many programs at the afternoon performance as Fiona did at the evening performance. Fiona sold as many programs in the afternoon as Boris did in the evening

thus we can draw the following table :

afternoon 
 evening  
 
  Boris  
 a 
 b 
 
  Fiona  
 b 
 a

then we know that price x number of places sold in the afternoon + places sold in the evening equals 1500
since the price is $3 for each place:
we have :

3(2a + 2b )= 1500 
2a + 2b= 500 
a+b= 250 
we are asking about X which denotes the total number of programs Boris sold that day, and Y the total number of programs the team sold in the afternoon.

from the table we can deduce that X=a+b and Y=a+b and we found that a+b equals 250 !!!!

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A team composed of Boris and Fiona sold souvenir programs for $3 each

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GMAT Two-part Analysis (TPA) Questions

A team composed of Boris and Fiona sold souvenir programs for $3 each

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