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Joined: 20 Feb 2017
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If Susan has $5 more than Tom, and if Tom has $2 more than E
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01 Jan 2020, 04:14
01 Jan 2020, 04:14
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If Susan has $5 more than Tom, and if Tom has $2 more than Ed, which of the following exchanges will ensure that each of the three has an equal amount of money?
(A) Susan must give Ed $3 and Tom $1.
(B) Tom must give Susan $4 and Susan must give Ed $5.
(C) Ed must give Susan $1 and Susan must give Tom $1.
(D) Susan must give Ed $4 and Tom must give Ed $5.
(E) Either Susan or Ed must give Tom $7.
(A) Susan must give Ed $3 and Tom $1.
(B) Tom must give Susan $4 and Susan must give Ed $5.
(C) Ed must give Susan $1 and Susan must give Tom $1.
(D) Susan must give Ed $4 and Tom must give Ed $5.
(E) Either Susan or Ed must give Tom $7.
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Re: If Susan has $5 more than Tom, and if Tom has $2 more than E
[#permalink]
02 Jan 2020, 08:56
02 Jan 2020, 08:56
Let Ed has $X
Tom has $2 more than Ed=> Tom = 2+x
Susan has $5 more than Tom => Susan = 5 + Tom = 5+2+x = 7+x
Let's take each option choice
(A) Susan must give Ed $3 and Tom $1.
Susan will have 7+x - 4 = x+3, Ed will have x+3, Tom will have 1+ 2+x = x+3, So, all have Equal.
We don't need to solve further as this is the answer, but solving for reference.
(B) Tom must give Susan $4 and Susan must give Ed $5.
Tom will have 2+x - 4 = x-3, Ed will have x+5, Susan will have 7+x - 5 + 4 = 6+x, All NOT equal
(C) Ed must give Susan $1 and Susan must give Tom $1.
Ed will have x-1, Susan will have x+7 + 1-1 = x+7, Tom will have x+3 + 1 = x+4, All NOT equal
(D) Susan must give Ed $4 and Tom must give Ed $5.
Susan will have 7+x - 4 = x+3, Ed will have x+4+5 = x+9, Tom will have 2+x-5 = x-3, All NOT equal
(E) Either Susan or Ed must give Tom $7.[/quote]
If Susan gives then
Susan will have 7+x - 7 = x, Ed will have x, Tom will have 2+x+7 = x+9, All NOT equal
If Ed gives
Susan will have 7+x, Ed will have x-7, Tom will have 2+x+7 = x+9, All NOT equal
So, Answer will be A
Hope it helps!
Tom has $2 more than Ed=> Tom = 2+x
Susan has $5 more than Tom => Susan = 5 + Tom = 5+2+x = 7+x
Let's take each option choice
(A) Susan must give Ed $3 and Tom $1.
Susan will have 7+x - 4 = x+3, Ed will have x+3, Tom will have 1+ 2+x = x+3, So, all have Equal.
We don't need to solve further as this is the answer, but solving for reference.
(B) Tom must give Susan $4 and Susan must give Ed $5.
Tom will have 2+x - 4 = x-3, Ed will have x+5, Susan will have 7+x - 5 + 4 = 6+x, All NOT equal
(C) Ed must give Susan $1 and Susan must give Tom $1.
Ed will have x-1, Susan will have x+7 + 1-1 = x+7, Tom will have x+3 + 1 = x+4, All NOT equal
(D) Susan must give Ed $4 and Tom must give Ed $5.
Susan will have 7+x - 4 = x+3, Ed will have x+4+5 = x+9, Tom will have 2+x-5 = x-3, All NOT equal
(E) Either Susan or Ed must give Tom $7.[/quote]
If Susan gives then
Susan will have 7+x - 7 = x, Ed will have x, Tom will have 2+x+7 = x+9, All NOT equal
If Ed gives
Susan will have 7+x, Ed will have x-7, Tom will have 2+x+7 = x+9, All NOT equal
So, Answer will be A
Hope it helps!
gmatclubot
Re: If Susan has $5 more than Tom, and if Tom has $2 more than E [#permalink]
02 Jan 2020, 08:56
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