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Philip has twice as many salamanders as Matt. If Philip gives Matt 10

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Math Expert
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Joined: 02 Sep 2009
Posts: 55651
Philip has twice as many salamanders as Matt. If Philip gives Matt 10  [#permalink]

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New post 07 Jan 2019, 05:25
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:20) correct 29% (02:15) wrong based on 16 sessions

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CEO
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Joined: 18 Aug 2017
Posts: 3866
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Philip has twice as many salamanders as Matt. If Philip gives Matt 10  [#permalink]

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New post 07 Jan 2019, 05:30
Bunuel wrote:
Philip has twice as many salamanders as Matt. If Philip gives Matt 10 of his salamanders, he will have half as many as Matt. How many salamanders do Philip and Matt have together?

A. 10
B. 20
C. 30
D. 40
E. 60


P=2M
and
P - 10 = 1/2(M + 10)
P - 10 = 1/2M + 5
P = 1/2M + 15

1/2M + 15 = 2M
15 = 3/2M
M = 10
P = 2 * 10
P = 20
total 30 IMO C
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Joined: 30 Dec 2018
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Re: Philip has twice as many salamanders as Matt. If Philip gives Matt 10  [#permalink]

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New post 07 Jan 2019, 05:32
p= 2m
P-10=1/2(m-10)
Solving
M= 10
P =20
Total = 30 answer is C

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Re: Philip has twice as many salamanders as Matt. If Philip gives Matt 10   [#permalink] 07 Jan 2019, 05:32
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Philip has twice as many salamanders as Matt. If Philip gives Matt 10

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