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Some of 50%-intensity red paint is replaced with 25%

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Director
Director
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G
Joined: 23 Jan 2013
Posts: 602

Kudos [?]: 31 [0], given: 41

Schools: Cambridge'16
Re: Some of 50%-intensity red paint is replaced with 25% [#permalink]

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New post 08 Nov 2015, 05:05
Equation

1/2x+1/4y=3/10(x+y)

x/y=1/4

Differential approach

50------30---25

20x=5y

x/y=1/4

x=1/5 and y=4/5 of final solution

E

Kudos [?]: 31 [0], given: 41

Retired Moderator
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B
Joined: 23 Sep 2015
Posts: 403

Kudos [?]: 96 [0], given: 72

Location: France
GMAT 1: 690 Q47 V38
GMAT 2: 700 Q48 V38
WE: Real Estate (Mutual Funds and Brokerage)
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Re: Some of 50%-intensity red paint is replaced with 25% [#permalink]

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New post 09 Nov 2015, 02:15
The ratio for the 50% solution is 1:1, for the 25% is 1;3 and for the 30% mixture is 3;7

I just do the weighted average to find the weight of the 50% solution in the new 30% solution

\(\frac{x}{2}\)+\(\frac{1(1-x)}{4}\)=\(\frac{3}{10}\)

x = \(\frac{1}{5}\)

So \(\frac{4}{5}\)of the old 50% solution was replaced by 4/5 of the 25% solution

we get 0.2*50 + 0.8*25 = 30
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Kudos [?]: 96 [0], given: 72

Director
Director
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G
Joined: 07 Dec 2014
Posts: 859

Kudos [?]: 291 [0], given: 16

Some of 50%-intensity red paint is replaced with 25% [#permalink]

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New post 11 Nov 2015, 18:49
x=fraction of solution replaced
.5-.5x+.25x=.3
x=4/5

Kudos [?]: 291 [0], given: 16

Manager
Manager
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Joined: 05 Jul 2015
Posts: 107

Kudos [?]: 28 [0], given: 3

Concentration: Real Estate, International Business
GMAT 1: 600 Q33 V40
GPA: 3.3
Re: Some of 50%-intensity red paint is replaced with 25% [#permalink]

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New post 19 Nov 2015, 15:21
My way was so quick that I had to triple check to make sure I didn't fall for a trick.

50-----30-------25
---20------5-----

20/25 = 4/5

Kudos [?]: 28 [0], given: 3

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Joined: 09 Sep 2013
Posts: 14877

Kudos [?]: 287 [0], given: 0

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Re: Some of 50%-intensity red paint is replaced with 25% [#permalink]

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New post 13 May 2017, 14:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 287 [0], given: 0

Re: Some of 50%-intensity red paint is replaced with 25%   [#permalink] 13 May 2017, 14:06

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