|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
14 Feb 2022, 12:41
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
50% (03:11) correct
50%
(03:18)
wrong
based on 107
sessions
History
Date
Time
Result
Not Attempted Yet
A charity sells 140 benefit tickets for a total of $2001. Some tickets sell for full price (a whole dollar amount), and the rest sell for half price. How much money is raised by the full-price tickets?
A. $782
B. $986
C. $1158
D. $1219
E. $1449
Chinese GMAT practice book
A. $782
B. $986
C. $1158
D. $1219
E. $1449
Chinese GMAT practice book
23 Feb 2022, 21:35
Kudos
Bookmarks
twobagels
Let \(x=\) no. of tickets sold at full price.
Let \(y=\) no. of ticksts sold at half price.
Let \(f\) be the full price dollar value.
Let \(\frac{f}{2}\) be the half price dollar value.
Hence we need the value of \(x(f)\)
we know :
\(x+y=140\) .....(I)
\(x(f) + y(\frac{f}{2})= 2001\) ....(II)
\(x( \frac{f}{2})+y (\frac{f}{2})=140 (\frac{f}{2})\).... Mutiplying (I) with \(\frac{f}{2}\) ....(III)
\(x(f) + y(\frac{f}{2})= 2001\) ....(IV)
IV -III
\(x(f)-x( \frac{f}{2})= 2001 - 140 (\frac{f}{2})\)
\(x( \frac{f}{2}) = 2001 - 140 (\frac{f}{2})\)
\(x(f) = 4002 - 140(f)\)
Now \(140(f)\) is always going to end with a zero.
Hence \(4002 -140(f) \)will always end with a \(2\)
There is only one option that ends with a \(2\)
Ans A
Hope it's clear.
16 Aug 2023, 09:40
Kudos
Bookmarks
a*n+(140-a)*n/2= 2001.......................(1)
n=2001/(a/2+70)
n=23*29*3/(a/2+70)
a/2+70 must be 87. So a = 34. putting it in equation 1, n= 23.
Cost of full-price ticket= 34*23= 782.
n=2001/(a/2+70)
n=23*29*3/(a/2+70)
a/2+70 must be 87. So a = 34. putting it in equation 1, n= 23.
Cost of full-price ticket= 34*23= 782.
