Austin and Erica together sold 100 tickets for the play. How many of

Question

Competition Mode Question

Austin and Erica together sold 100 tickets for the play. How many of these tickets were sold by Austin

(1) Erica sold 20% of all the tickets sold for the play
(2) Together Austin and Erica sold 25% of all the tickets sold for the play

GMATinsight · Answer

A + E = 100
  Question : A = ?

Statement 1)  Erica sold 20% of all the tickets sold for the play

Since there is no information about the total number of tickets sold for the play hence we ccan not calculate the number of tickets sold by E or A hence

NOT SUFFICIENT

Statement 2)  Together Austin and Erica sold 25% of all the tickets sold for the play

i.e. A + E = (25/100)* Total tickets of play = 100

i.e. Total tickets sold = 400

Since there is no information about the relation total number of tickets sold for the play with A or E hence we can not calculate the number of tickets sold by E or A hence

NOT SUFFICIENT

Combining the two statements

Let, Total tickets of play = x

i.e. A + E = (25/100)* x = 100 (given) and

i.e. x= 400 Also

E = 0.20*x = 0.2*400 = 80

i.e. A = 100 - 80 = 20

SUFFICIENT

Answer: Option C

rahulsaneja · Answer

1st stat: Erica sold 20% of the total tickets for the play 
Exp: Here we don't know the total number of tickets sold for the play
Assert: Stat 1 alone is not sufficient.

2nd stat : Erica and Austin sold 25% of all the the tickets sold for the play
Exp: As given in the problem statement, together they sold 100 tickets,
Therefore,
 Total tickets sold for the show were 100/0.25 = 400 tickets.
But we have no value as for how many tickets Erica alone sold.
Assert : Stat 2 alone is not sufficient.

Now combining the 2 stats,
Total tickets sold = 400
ticket sold by Erica = 20% of total tickets sold
 = 20/100 * 400
 = 80 tickets sold by Erica alone.

Therefore, Correct answer choice = C

Archit3110 · Answer

total tickets sold together = 100
i.e a+e=100
fine a
#1
Erica sold 20% of all the tickets sold for the play
total tickets sold for event =x 
E sold .2x 
but total x value not know insufficient
#2
Together Austin and Erica sold 25% of all the tickets sold for the play
a+e=.25x
i.e
.25x= 100
x= 400 
total tickets now know
but % sold by a & e not know insufficient
from 1&2
we know E sold .25x ; 100 tickets
so a sold 0 tickets
IMO C ; sufficient

Austin and Erica together sold 100 tickets for the play. How many of these tickets were sold by Austin

(1) Erica sold 20% of all the tickets sold for the play
(2) Together Austin and Erica sold 25% of all the tickets sold for the play

GMATWhizTeam · Answer

Solution 
 Step 1: Analyse Question Stem 
 • Let A and E be the tickets sold by Austin and Erica respectively.
 o  A + E = 100   
We need to find the value of A.
 Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE 
 Statement 1:  Erica sold 20% of all the tickets sold for the play.
 • We don’t know how many total tickets are sold.
 o We can’t find the number of tickets sold by Austin.  
Hence, statement 1 is not sufficient, we can eliminate answer options A and D.
 Statement 2:  Together Austin and Erica sold 25% of all the tickets sold for the play.
 • Let T be the total tickets sold.
•  \frac{25}{100}*T=100 
• T=400 
• We can’t find the number of tickets sold by Austin.
Hence, statement 2 I also not sufficient, we can eliminate options B.
 Step 3: Analyse Statements by combining. 
From statement 1: Erica sold 20% of total tickets.
From statement 2: Total tickets sold = 400.
 • Tickets sold by Erica =  \frac{20}{100}*400=80 
• Tickets sold by Austin =  100 – 80 = 20  tickets. 
Hence, the correct answer is  Option C.

eakabuah · Answer

From the stem, we know that Ta + Te = 100, where Ta is tickets sold by Austin and Te is tickets sold by Erica. We are to determine Ta.

Statement 1: Erica sold 20% of all the tickets sold for the play.
We need information of the total tickets sold in order to determine Te and find Ta by subtracting Te from 100. Insufficient.

Statement 2: Together Austin and Erica sold 25% of all the tickets sold for the play.
From this information, we can determine the total number of tickets sold overall to be 100*4 = 400. But We need an informantion on Te in order to determine Ta. Statement 2 is insufficient.

1+2
sufficient. Total tickets sold overall is 400. Te=400/5 = 80. So Ta=100-80 = 20.

The answer is C.

freedom128 · Answer

(1) Erica sold 20% of all the tickets sold for the play
We don't know how many the tickets were sold for the play (the sellers may or may not be only Austin and Erica).
NOT SUFFICIENT
 
(2) Together Austin and Erica sold 25% of all the tickets sold for the play
We know that the number of tickets sold for the play is 100/25% = 400 nos. Yet, we don't know how many of these tickets were sold by Austin or Erica alone.
NOT SUFFICIENT

(1)+(2)
The number of tickets sold for the play is 100/25% = 400 nos --> Erica sold 20% x 400 = 80 tickets. So Austin sold 100-80 = 20 tickets
SUFFICIENT

FINAL ANSWER IS (C)

exc4libur · Answer

a+e=100

(1) insufic 
e=0.2t, t=?

(2) insufic 
a+e=100=0.25t

(1/2) sufic 
100=0.25t, t=400
e=0.2t=0.2(400)
solve for 'a'

Ans (C)

madgmat2019 · Answer

(1) Erica sold 20% of all the tickets sold for the play.............we are not aware of the total no.of tickets sold....INSUFFICIENT
(2) Together Austin and Erica sold 25% of all the tickets sold for the play...but this doesnt help in finding no.of tickets sold by them individually........INSUFFICIENT

combining we can get the tickets sold by Austin as below:

Together Austin and Erica sold 25% of all the tickets----- so total no.of tickets is 400
Erica sold 20% of all the tickets - total tickets is 80
Austin sold 20 tickets

OA:C

lacktutor · Answer

Austin and Erica together sold 100 tickets for the play. How many of these tickets were sold by Austin
A+ E= 100
Let's say that all tickets sold for the play is x

( Statement1 ): Erica sold 20% of all the tickets sold for the play
--> (20/100)*x = 0.2x 
No info about what x is 
 Insufficient

( Statement2 ): Together Austin and Erica sold 25% of all the tickets sold for the play
100 -25%
x--- 100%

--> x = 100*100/25= 400 (all tickets)
but that's not enough to get to the number of tickets Austin sold.
 Insufficient

Taken together 1&2, 
 Erica --0.2x= 0.2*400= 80
Austin = 100 -80 =20 
 Sufficient

The answer is C.

Jawad001 · Answer

Austin and Erica together sold 100 tickets for the play. How many of these tickets were sold by Austin

(1) Erica sold 20% of all the tickets sold for the play
(2) Together Austin and Erica sold 25% of all the tickets sold for the play

Let Total number of tickets = x.
Total tickets sold = 100
From statement (1), Eric sold 20% of all tickets. We do not know the number of all tickets. Not Sufficient.
From statement (2), Together Austin and Erica sold 25% of all the tickets sold for the play. 
For the play, Austin and Erica together sold 100 tickets 
25% of x = 100
Or, x(1/4) = 100
Or, x = 400
Total Tickets = 400
Austin sold = 80% of 400 = 320
Answer: C

unraveled · Answer

Austin and Erica together sold 100 tickets for the play. How many of these tickets were sold by Austin
a + e = 100

(1) Erica sold 20% of all the tickets sold for the play
If e = 50, a = 50, total tickets = 250
e = 40, a = 60, total tickets = 200

INSUFFICIENT.

(2) Together Austin and Erica sold 25% of all the tickets sold for the play
a = 50, e = 50, total tickets = 400
a = 25, e = 75, total tickets = 400

INSUFFICIENT.

Together 1 and 2
Again in a + e = 100, 'a' varies as value of total tickets is not given.
Now, 100 = 0.25t where 't' is total number of tickets.
t = 400
As, e = 0.2t = 0.2*400 = 80
There a = 100 - 80 = 20

SUFFICIENT.

Answer C.

Austin and Erica together sold 100 tickets for the play. How many of

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GMAT Data Sufficiency (DS) Questions

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