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# Dale and Kelly collect rare coins and Dale has twice as many rare coin

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Math Expert
Joined: 02 Sep 2009
Posts: 58317
Dale and Kelly collect rare coins and Dale has twice as many rare coin  [#permalink]

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19 Feb 2019, 03:17
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:33) correct 19% (02:16) wrong based on 27 sessions

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Dale and Kelly collect rare coins and Dale has twice as many rare coins as Kelly. If Dale gives Kelly 6 coins, leaving Dale with 10 more coins than Kelly, how many coins did Kelly have initially?

A. 20
B. 22
C. 28
D. 38
E. 44

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Re: Dale and Kelly collect rare coins and Dale has twice as many rare coin  [#permalink]

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19 Feb 2019, 04:00
Bunuel wrote:
Dale and Kelly collect rare coins and Dale has twice as many rare coins as Kelly. If Dale gives Kelly 6 coins, leaving Dale with 10 more coins than Kelly, how many coins did Kelly have initially?

A. 20
B. 22
C. 28
D. 38
E. 44

Let Kelly has X coins
then Dale has 2X coins
Dale gives 6 coins to Kelly
=> Dale = 2X-6
Kelly = X+6

Also we know : (2X-6)-(X+6) = 10
=> X-12 = 10
=> X = 22

Hence Kelly had 22 coins initially and the B is the correct answer.
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Re: Dale and Kelly collect rare coins and Dale has twice as many rare coin  [#permalink]

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19 Feb 2019, 04:17
Bunuel wrote:
Dale and Kelly collect rare coins and Dale has twice as many rare coins as Kelly. If Dale gives Kelly 6 coins, leaving Dale with 10 more coins than Kelly, how many coins did Kelly have initially?

A. 20
B. 22
C. 28
D. 38
E. 44

given
k=x
d=2x
d=2x-6
and k = x+6
so
2x-6-x-6=10
so x=22
IMO B
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Re: Dale and Kelly collect rare coins and Dale has twice as many rare coin   [#permalink] 19 Feb 2019, 04:17
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