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.
3a − 2b = 9 5a = 34 − 3b
[#permalink]
19 Mar 2019, 11:09
19 Mar 2019, 11:09
Expert Reply
00:00
Question Stats:
75% (01:46) correct
24% (01:24) wrong based on 45 sessions
Hide Show timer Statistics
\(3a − 2b = 9\)
\(5a = 34 − 3b\)
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
\(5a = 34 − 3b\)
Quantity A |
Quantity B |
a |
b |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 3a − 2b = 9 5a = 34 − 3b
[#permalink]
19 Mar 2019, 16:35
19 Mar 2019, 16:35
2
Carcass wrote:
\(3a − 2b = 9\)
\(5a = 34 − 3b\)
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
\(5a = 34 − 3b\)
Quantity A |
Quantity B |
a |
b |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
GIVEN:
3a − 2b = 9
5a = 34 − 3b
Add 3b to both sides of the bottom equation to get:
3a − 2b = 9
5a + 3b = 34
Multiply both sides of the TOP equation by 3, and multiply both sides of the BOTTOM equation by 2 to get:
9a − 6b = 27
10a + 6b = 68
ADD the two equations to get: 19a = 95
Solve: a = 95/19 = 5
Now that we know a = 5, plug a = 5 into the given equation 3a − 2b = 9 to get: 3(5) − 2b = 9
Simplify to get: 15 − 2b = 9
Subtract 15 from both sides to get: -2b = -6
Solve: b = 3
We get:
QUANTITY A: 5
QUANTITY B: 3
Answer: A
Cheers,
Brent
gmatclubot
Re: 3a − 2b = 9 5a = 34 − 3b [#permalink]
19 Mar 2019, 16:35
Moderators:
