Last visit was: 17 May 2024, 17:14 It is currently 17 May 2024, 17:14

Close

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

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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
User avatar
Senior Manager
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Own Kudos [?]: 338 [9]
Given Kudos: 299
Send PM
Most Helpful Community Reply
User avatar
Senior Manager
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Own Kudos [?]: 338 [7]
Given Kudos: 299
Send PM
General Discussion
Verbal Expert
Joined: 18 Apr 2015
Posts: 28756
Own Kudos [?]: 33335 [4]
Given Kudos: 25245
Send PM
avatar
Intern
Intern
Joined: 15 Mar 2020
Posts: 24
Own Kudos [?]: 31 [3]
Given Kudos: 0
Send PM
Re: Jennifer has $400 more than Brian has. If she were to give [#permalink]
2
1
Bookmarks
So.
J = 400 + B
and
0.2J + B = (2/3)(4/5)J
B = (8/15)J - (1/5)J = (1/3)J
B = (1/3)(400 + B)
(2/3)B = 400/3
B = 400/2 = 200
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 11734 [2]
Given Kudos: 136
Send PM
Re: Jennifer has $400 more than Brian has. If she were to give [#permalink]
1
1
Bookmarks
Farina wrote:
Jennifer has $400 more than Brian has. If she were to give Brian 20% of her money, then Brian would have \(\frac{2}{3}\) of the amount of money that Jennifer would then have. How much money does Brian currently have (before exchanging money)?

Show: ::
\(200\)



Here's one approach:

Let J = Jennifer's $
Let B = Brian's $

Jennifer has $400 more than Brian.
So, J = B + 400

If Jennifer were to give Brian 20% of her money, Brian would have 2/3 of the amount that Jennifer would then have.
20% of Jennifer's money = 1/5 of Jennifer's money = (1/5)J
So, if Jennifer gives Brian 1/5 of her money, then Jennifer now has (4/5)J dollars remaining, and Brian now has B + (1/5)J dollars

If Brian now has 2/3 of the amount that Jennifer now has, then: 2/3 of Jennifer's amount = Brian's amount
So, we can write: (2/3)(4/5)J = B + (1/5)J
Simplify, to get (8/15)J = B + (1/5)J
Multiply both sides by 15 to get: 8J = 15B + 3J
Rearrange: 5J = 15B
Divide both sides by 5 to get: J = 3B

We now have the system:
J = B + 400
J = 3B

When we solve it, we get B = 200 (as well as J = 600)

Answer: 200

Cheers,
Brent
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 4501
Own Kudos [?]: 68 [0]
Given Kudos: 0
Send PM
Re: Jennifer has $400 more than Brian has. If she were to give [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
[#permalink]
Moderators:
Moderator
1085 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne