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.
If Juanita gives half of her bitcoins in a 1: 2 ratio to Pat
[#permalink]
10 Aug 2020, 10:48
10 Aug 2020, 10:48
Expert Reply
7
Bookmarks
00:00
Question Stats:
48% (03:26) correct
51% (02:45) wrong based on 31 sessions
Hide Show timer Statistics
If Juanita gives half of her bitcoins in a 1: 2 ratio to Pat and Svetlana, respectively, then Pat will have one fourth as many bitcoins as will Svetlana, who will in turn have twice as many bitcoins as will Juanita. If Pat currently has 2 bitcoins, then how many more bitcoins does Juanita currently have than Svetlana?
A. 8
B. 12
C. 20
D. 22
E. 24
A. 8
B. 12
C. 20
D. 22
E. 24
Re: If Juanita gives half of her bitcoins in a 1: 2 ratio to Pat
[#permalink]
11 Aug 2020, 03:45
11 Aug 2020, 03:45
Explanation pls
Re: If Juanita gives half of her bitcoins in a 1: 2 ratio to Pat
[#permalink]
11 Aug 2020, 04:16
11 Aug 2020, 04:16
1
Currently :
P : 2 bitcoin
S : y bitcoin
J : 6x bitcoin (Considering she has to divide it into 1/6th ( to give to P) and 2/6th (to give to S) )
After the transaction:
P : 2 + (6x/6) = 2 + x
S : y + (6x/3) = y + 2x
J : 6x - x - 2x = 3x
P = 1/4 * S
2 + x = 1/4 * (y + 2x)
y = 8 + 2x
S : y + 2x = 8 + 2x + 2x = 8 + 4x
S = 2 * J
4x + 8 = 2(3x)
x = 4
Thus, Currently
J - S = [6 * 4] - y = 24 - [8 + 2 *4] = 8
P : 2 bitcoin
S : y bitcoin
J : 6x bitcoin (Considering she has to divide it into 1/6th ( to give to P) and 2/6th (to give to S) )
After the transaction:
P : 2 + (6x/6) = 2 + x
S : y + (6x/3) = y + 2x
J : 6x - x - 2x = 3x
P = 1/4 * S
2 + x = 1/4 * (y + 2x)
y = 8 + 2x
S : y + 2x = 8 + 2x + 2x = 8 + 4x
S = 2 * J
4x + 8 = 2(3x)
x = 4
Thus, Currently
J - S = [6 * 4] - y = 24 - [8 + 2 *4] = 8
