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

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

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07 Jan 2019, 05:25
00:00

Difficulty:

35% (medium)

Question Stats:

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

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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

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Philip has twice as many salamanders as Matt. If Philip gives Matt 10  [#permalink]

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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
Posts: 34
Re: Philip has twice as many salamanders as Matt. If Philip gives Matt 10  [#permalink]

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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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