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# Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18

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Math Expert
Joined: 02 Sep 2009
Posts: 64174
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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29 Jun 2016, 06:52
00:00

Difficulty:

15% (low)

Question Stats:

88% (02:25) correct 12% (02:46) wrong based on 66 sessions

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Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake?

A. 0.125%
B. 1.25%
C. 12.5%
D. 125%
E. 0.152%

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Joined: 22 Jun 2016
Posts: 223
Re: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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29 Jun 2016, 07:48
9.18x+5.17x+2.05x = 16.4x = 148 cookies

x= 148/16.4 = 9 (approx)

% share = 19/148 = 12.5 approx

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Director
Joined: 04 Jun 2016
Posts: 532
GMAT 1: 750 Q49 V43
Re: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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29 Jun 2016, 09:08
Bunuel wrote:
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake?

A. 0.125%
B. 1.25%
C. 12.5%
D. 125%
E. 0.152%

Since all answer values are at least separated by a factor of 10, ignore the decimal in the ratios
9x+5x+2x=148
x= 148/16 =~9

Percent of Nell = $$\frac{Nell}{Total} = \frac{18}{144} = 0.125 = 12.5%$$
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Re: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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29 Jun 2016, 19:07
Bunuel wrote:
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake?

A. 0.125%
B. 1.25%
C. 12.5%
D. 125%
E. 0.152%

9.18+5.17+2.05=16.4

2.05/16.4 OR approx 2/16=1/8=12.5%

Manager
Joined: 22 Feb 2015
Posts: 55
Location: United States
Concentration: Finance, Operations
GMAT Date: 04-01-2015
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Re: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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29 Jun 2016, 22:42
Total 16.40 x = 148
x = 9

Ne = 2.05
total is 16.40

so Ne share = 2.05 / 16.40 = 0.125 or 12.5 %
Director
Joined: 04 Jun 2016
Posts: 532
GMAT 1: 750 Q49 V43
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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30 Jun 2016, 02:02
Bunuel wrote:
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake?

A. 0.125%
B. 1.25%
C. 12.5%
D. 125%
E. 0.152%

I just realised that that number 148 is a red herring.
Since quantities expressed as ratios either will be in simplest fractions or will inherently contains a common multiplier, there is no need to solve for the common multiplier x in this problem.

For example
$$\frac{1}{2} = 50$$% OR $$\frac{2}{4} = 50$$%

The inherent "hidden multiplier is 2 for both the numerator and denominator" $$\frac{1*2}{2*2} = \frac{2}{4}$$

therefore to find the percentage of NELL's cookie we just need to divide Nell's Number to the total number

$$\frac{2.05}{16.05}$$ = 12.5%

_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.
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Joined: 07 Dec 2014
Posts: 1252
Re: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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01 Jul 2016, 21:50
9.18+5.17+2.05=16.4
2.05/16.4=.125=12.5%
Manager
Joined: 16 Mar 2016
Posts: 119
Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18  [#permalink]

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02 Jul 2016, 01:12
We don't even need 148 to conclude.

We know that :
Ir = 9,18*K
In = 5,17*K
N = 2,05 * K

Tot = 16,40*K

So, N/Tot = 2,05/16,40 = 1/8 = 12.5%
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18   [#permalink] 02 Jul 2016, 01:12