GRE Prep 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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If 52x + 604 = 1400 and 151
[#permalink]
27 May 2018, 05:24
27 May 2018, 05:24
00:00
Question Stats:
86% (01:23) correct
13% (03:25) wrong based on 46 sessions
Hide Show timer Statistics
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?
A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13
A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 52x + 604 = 1400 and 151
[#permalink]
28 May 2018, 05:58
28 May 2018, 05:58
GreenlightTestPrep wrote:
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?
A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13
A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13
The key here is to avoid solving the two equations for x and y.
We can do this by recognizing that each term in the equation 52x + 604 = 1400 is 4 times each term in the equation 151 + 13y = 350
For example, (4)(151) = 604
And (4)(13) = 52
And (4)(350) = 1400
So, if we take 151 + 13y = 350 and multiply both sides by 4, we get the EQUIVALENT EQUATION: 604 + 52y = 1400
Rearrange to get: 52y + 604 = 1400
So, we have:
52x + 604 = 1400
52y + 604 = 1400
Since both equations are set equal to 1400, we can say: 52x + 604 = 52y + 604
Subtract 604 from both sides to get: 52x = 52y
Divide both sides by 52 to get: x = y
If x = y, then x - y = 0
Answer: C
Cheers,
Brent
gmatclubot
Re: If 52x + 604 = 1400 and 151 [#permalink]
28 May 2018, 05:58
Moderators:
