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# If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the thr

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Math Expert
Joined: 02 Sep 2009
Posts: 56300
If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the thr  [#permalink]

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07 Jan 2019, 03:41
00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:33) correct 43% (02:15) wrong based on 25 sessions

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If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the three boys will have the same amount of money. How much more money does John have than Allen?

A. \$3
B. \$5
C .\$6
D. \$7
E. \$8

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Re: If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the thr  [#permalink]

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07 Jan 2019, 04:04
1
Bunuel wrote:
If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the three boys will have the same amount of money. How much more money does John have than Allen?

A. \$3
B. \$5
C .\$6
D. \$7
E. \$8

John;J Frank; f Allen;a

so John gives Allen 5 dollars
J-5=A+5

then
Allen gives Frank 2 dollars
A+5-2= F+2
A+3=F+2

J-5-(A+3)
J-A-8
J-A=8
IMO E
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Re: If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the thr  [#permalink]

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20 Jan 2019, 21:00
J-5≠A+5

J-5--->A+5-2---->F+2
So we end up with J-5, A+3 and F+2. We are then told that they are equal
J-5=A+3=F+2

We are then asked about John and Allen (forget Frank) at the current time, not in the hypothetical if time when he gives money. So we need to find J.
J-5=A+3
J=A+8

J has 8 more than A.
E
Re: If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the thr   [#permalink] 20 Jan 2019, 21:00
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# If John gives Allen 5 dollars and Allen gives Frank 2 dollars, the thr

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