Last visit was: 23 Apr 2026, 14:51 It is currently 23 Apr 2026, 14:51
Home
Messages
Tests
Schools
Events
Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,785
Own Kudos:
810,857
 [3]
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,785
Kudos: 810,857
 [3]
A university awarded grants in the amount of either $7,000 or $10,000 11 Mar 2024, 01:30
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

71% (01:53) correct 29% (01:58) wrong based on 164 sessions

History

Date
Time
Result
Not Attempted Yet
­A university awarded grants in the amount of either $7,000 or $10,000 to some incoming freshmen. The total amount of all such awards was $2,300,000. Did the university award more $7,000 grants than $10,000 grants to its incoming freshmen?

(1) A total of 275 freshmen received grants in one of the two amounts.
(2) The amount of money awarded in $10,000 grants was $200,000 more than the amount of money awarded in $7,000 grants.



­
ShowHide Answer
Official Answer
D
User avatar
curiousPope
User avatar
Joined: 07 Jan 2024
Last visit: 03 Jan 2025
Posts: 52
Own Kudos:
16
 [1]
Given Kudos: 69
Posts: 52
Kudos: 16
 [1]
A university awarded grants in the amount of either $7,000 or $10,000 11 Mar 2024, 02:36
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is D the correct answer?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,785
Own Kudos:
810,857
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,785
Kudos: 810,857
A university awarded grants in the amount of either $7,000 or $10,000 11 Mar 2024, 02:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
 
curiousPope
Is D the correct answer?
Show more
­
The OA will be automatically revealed on Tuesday 12th of March 2024 01:30:35 AM Pacific Time Zone. Meanwhile, you are welcome to post your rationale behind D.
User avatar
Edoua
User avatar
Joined: 18 Feb 2024
Last visit: 16 Mar 2026
Posts: 103
Own Kudos:
55
 [1]
Given Kudos: 638
Posts: 103
Kudos: 55
 [1]
A university awarded grants in the amount of either $7,000 or $10,000 11 Mar 2024, 02:48
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
D also is the correct answer

X person who received 7.000
Y who received 10.000

7.000x + 10.000y = 2.300.000

1- x +y =275 sufficient

2- 10.000y = 20.000 + 7000x

Is there any mistake on this?

Posted from my mobile device
User avatar
poojaarora1818
User avatar
Joined: 30 Jul 2019
Last visit: 23 Apr 2026
Posts: 1,624
Own Kudos:
784
Given Kudos: 3,818
Location: India
Concentration: General Management, Economics
Schools: Duke '27 Haas '27 Kelley '27 Kellogg '27 McDonough '27
GPA: 3
WE:Human Resources (Real Estate)
Products:
GMAT Club Tests
Schools: Duke '27 Haas '27 Kelley '27 Kellogg '27 McDonough '27
Posts: 1,624
Kudos: 784
A university awarded grants in the amount of either $7,000 or $10,000 12 Mar 2024, 07:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­A university awarded grants in the amount of either $7,000 or $10,000 to some incoming freshmen. The total amount of all such awards was $2,300,000. Did the university award more $7,000 grants than $10,000 grants to its incoming freshmen?

(1) A total of 275 freshmen received grants in one of the two amounts.
(2) The amount of money awarded in $10,000 grants was $200,000 more than the amount of money awarded in $7,000 grants.

Solution

Statement 1 tells us 275 total freshmen who received grants in one of the two amounts

Let's consider the no. of $7000 = x
                 the no. of $10,000 = 275-x
So, form an equation

7000x + 10000(275-x)      = 2300000
7000x + 2750000-10000x = 2300000
-3000x                            = -450000
                          x          = -450000/-3000 =150
Now, we know 7000*150= 1050000 and 10000(275-150)= 1250000
We know $1250000 > $1050000 So, the answer is No
Statement 1 is sufficient

Statement 2 

Let's consider No. of $7000= x
                No. of $10,000 = y

We already know from the ques stem that 7000x + 10000y = 2300000 --> Eq. 1

From statement 2 we know that 10000y = 200000 + 7000x ---> Eq. 2

Let's put them together
7000x + 200000 + 7000x = 2300000
                                  x  = 150
We can put the value of x in Eq. 1 and get
7000*150 + 10000y = 2300000
                          y = 125

Hence, Statement 2 is sufficient  
Answer is D
 
User avatar
Shubhradeep
User avatar
Joined: 11 Jan 2024
Last visit: 07 Feb 2026
Posts: 120
Own Kudos:
247
Given Kudos: 108
Location: India
Posts: 120
Kudos: 247
A university awarded grants in the amount of either $7,000 or $10,000 12 Mar 2024, 14:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­Option D

Statement 1:
x+y = 275 [ x-> number of 7000s and y-> number of 10000s]
=> 10x + 10y = 2750 ...(I) 
=> 7x + 10y = 2300 ...(II) 
NOTE: we have reduced 3 zeros from each side

(I)-(II) => 3x = 450 => x = 150 and y=125

Sufficient

Statement 2:
Suppose money awarded in $7000 is y
So, money awarded in $10000 is y+200000

So, y+y+200 = 2300 [ Again reduced 3 0's from each side]
=> y= 1050
So, money awarded in $7000 = \(\frac{1050}{7}\) = 150
And, money awarded in $10000 = \(\frac{(1050+200)}{7}\) = 125

Sufficient

Either statement is sufficient

Hence, option D
Moderators:
Bunuel
Math Expert
109785 posts
kingbucky
498 posts
Gmat860sanskar
212 posts