If John gives Allen 5 dollars and Allen gives Frank 2 dollars

Question

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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ankushsambare · Answer

Let John = J, Allen = A, Frank = F.

According to the problem:

After John gives Allen 5:
John → J − 5
Allen → A + 5

Then Allen gives Frank 2:
Allen → (A + 5) − 2 = A + 3
Frank → F + 2

Now all three amounts are equal:

J − 5 = A + 3 = F + 2

We just need how much more John has than Allen originally, so compare the first two:

J − 5 = A + 3
J = A + 8

So John has 8 dollars more than Allen.

Correct answer: E

ravi1522 · Answer

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?

Let take John ,Allen and Frank money as x,y,z

John give $5 to Allen and allen give 2 dollars to Frank 
John =X-5
Allen =Y+5-2=Y+3

How much money does John more than Allen considering all Three have same Money

X-5=Y+3
X-Y=8

Hence Option E is correct

007Phoenix007 · Answer

Let John, Allen, and Frank initially have $J, $A, and $F.

After the transactions:
John gives Allen 5: 
John has $J - 5, 
Allen has $A + 5.

Then Allen gives Frank 2: 
Allen has $A + 5 - 2 = A + 3 Frank has $F + 2.
Given they all have the same amount in the end:

J - 5 = A + 3 = F + 2
From J - 5 = A + 3

J - A = 8
So John has 8 dollars more than Allen.
Therefore option E

Dereno · Answer

Let the initial amount with John, Allen and Frank be J, A and F respectively.

John gives Allen 5 dollars

J-5 = A+5

Allen gives Frank 2 dollars

A+5-2 = F+2 = A+3

The amounts are equal: J-5 = A+3 = F+2

J = A+8

J - A =  8

Option E

rohitz98 · Answer

Consider the initial amounts of john, allen and frank as j,a and f respectively
Now given j-5 = a+3 = f+2
So j = a+8
Hence john has 8 dollars more  Option E

If John gives Allen 5 dollars and Allen gives Frank 2 dollars

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GMAT Problem Solving (PS) Questions

If John gives Allen 5 dollars and Allen gives Frank 2 dollars

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