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If Sofia gives Zayn $5, they will have the same amount of money. If Za
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15 Aug 2021, 13:56
15 Aug 2021, 13:56
1
Expert Reply
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Question Stats:
61% (01:44) correct
38% (01:34) wrong based on 13 sessions
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If Sofia gives Zayn $5, they will have the same amount of money. If Zayn gives Sofia $5, she will have twice as much money as he will have.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The amount of money Sofia has |
$10 more than the amount of money Zayn has |
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: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: If Sofia gives Zayn $5, they will have the same amount of money. If Za
[#permalink]
15 Aug 2021, 18:31
15 Aug 2021, 18:31
1
interestingly there are two ways for solving this problem:
- intelligent translation of data into variables or algebraic solution (algebra is stronger definition than simple association, and it involves logic)
- brutal solution and panicking when sometimes negative values are revealed on one side of the translation
My bad, I have chosen for the second way and panicked here..
first solution would suffice for comparison purpose
Sofia gives Zayn $5, they will have the same amount of money ---> S-5=Z+5 (!!!!) that's it. Solved, as S=Z+10 is our comparison in quantities A and B. Answer is C
My way, brutal solution and ignoring algebra by treating variables as only simple terms, not logical connectors..
continued from the previous: Zayn gives Sofia $5, she will have twice as much money as he will have ---> 2(Z-5)=S+5
AND combining two equations 2Z-10=S+5, 2Z-10=Z+10+5, Z=25 AND S=25+10=35 AND Z+10=35
I am not happy with the highlighted part in my above solution
- intelligent translation of data into variables or algebraic solution (algebra is stronger definition than simple association, and it involves logic)
- brutal solution and panicking when sometimes negative values are revealed on one side of the translation
My bad, I have chosen for the second way and panicked here..
first solution would suffice for comparison purpose
Sofia gives Zayn $5, they will have the same amount of money ---> S-5=Z+5 (!!!!) that's it. Solved, as S=Z+10 is our comparison in quantities A and B. Answer is C
My way, brutal solution and ignoring algebra by treating variables as only simple terms, not logical connectors..
continued from the previous: Zayn gives Sofia $5, she will have twice as much money as he will have ---> 2(Z-5)=S+5
AND combining two equations 2Z-10=S+5, 2Z-10=Z+10+5, Z=25 AND S=25+10=35 AND Z+10=35
I am not happy with the highlighted part in my above solution
Carcass wrote:
If Sofia gives Zayn $5, they will have the same amount of money. If Zayn gives Sofia $5, she will have twice as much money as he will have.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The amount of money Sofia has |
$10 more than the amount of money Zayn has |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Re: If Sofia gives Zayn $5, they will have the same amount of money. If Za
[#permalink]
15 Aug 2021, 19:29
15 Aug 2021, 19:29
1
Sofia gives Zayn $5, they will have the same amount of money.
\(S - 5 = Z + 5\) :: \(S - Z = 10\) _______ (1)
If Zayn gives Sofia $5, she will have twice as much money as he will have.
\(S + 5 = 2 (Z - 5)\) :: \(S = 2Z - 5\) ________ (2)
One can solve the equation for the value of \(S\) & \(Z\), BUT
From eq (1), it is clear that Qt A = Qt B
Answer C
\(S - 5 = Z + 5\) :: \(S - Z = 10\) _______ (1)
If Zayn gives Sofia $5, she will have twice as much money as he will have.
\(S + 5 = 2 (Z - 5)\) :: \(S = 2Z - 5\) ________ (2)
One can solve the equation for the value of \(S\) & \(Z\), BUT
From eq (1), it is clear that Qt A = Qt B
Answer C
