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.
A man willed 1/3 of his money to his eldest son, 2/3 of the
[#permalink]
02 Mar 2020, 05:46
02 Mar 2020, 05:46
3
Bookmarks
00:00
Question Stats:
88% (01:52) correct
11% (02:53) wrong based on 26 sessions
Hide Show timer Statistics
A man willed 1/3 of his money to his eldest son and 2/3 of the remainder to his younger son. 3/5 of what was left after the younger son's share had been apportioned was willed to to his daughter. The final residue was willed to a charity which received 8000 dollars. What was the total value of the man's estate?
A) 18,000 dollars
B) 90,000 dollars
C) 55,800 dollars
D) 27,524 dollars
E) 90,637 dollars
A) 18,000 dollars
B) 90,000 dollars
C) 55,800 dollars
D) 27,524 dollars
E) 90,637 dollars
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A man willed 1/3 of his money to his eldest son, 2/3 of the
[#permalink]
02 Mar 2020, 10:02
02 Mar 2020, 10:02
2
1
Bookmarks
Thakurdas wrote:
A man willed 1/3 of his money to his eldest son and 2/3 of the remainder to his younger son. 3/5 of what was left after the younger son's share had been apportioned was willed to to his daughter. The final residue was willed to a charity which received 8000 dollars. What was the total value of the man's estate?
A) 18,000 dollars
B) 90,000 dollars
C) 55,800 dollars
D) 27,524 dollars
E) 90,637 dollars
A) 18,000 dollars
B) 90,000 dollars
C) 55,800 dollars
D) 27,524 dollars
E) 90,637 dollars
One approach is to work backwards to determine the total value of the estate.
I'll let you do that.
Here's an algebraic approach:
Let T = the total value of the estate
A man willed 1/3 of his money to his eldest son...
So, (1/3)T = money given to eldest son
So the amount remaining = T - (1/3)T = (2/3)T
....and 2/3 of the remainder to his younger son
So the amount given to younger son = 2/3 of (2/3)T
So the amount remaining now = 1/3 of (2/3)T = (2/9)T
3/5 of what was left after the younger son's share had been apportioned was willed to to his daughter. The final residue was willed to a charity which received 8000 dollars.
So the amount willed to the daughter = 3/5 of (2/9)T
So the amount remaining now = 2/5 of (2/9)T = (4/45)T
Since the final amount remaining equals the amount given to charity, we can write: (4/45)T = 8000
Divide both sides by 4/45 to get: T = 90,000
Answer: B
Cheers,
Brent
Re: A man willed 1/3 of his money to his eldest son, 2/3 of the
[#permalink]
03 Sep 2023, 08:02
03 Sep 2023, 08:02
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.
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.
