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# A certain cooking oil is composed of olive, canola and grapeseed oils

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Manager
Joined: 03 Jul 2017
Posts: 67
Location: India
Concentration: Finance, Economics
GPA: 3.4
A certain cooking oil is composed of olive, canola and grapeseed oils  [#permalink]

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28 Nov 2017, 12:41
2
00:00

Difficulty:

45% (medium)

Question Stats:

66% (02:05) correct 34% (02:37) wrong based on 59 sessions

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A certain cooking oil is composed of olive, canola and grapeseed oils in a ratio of 1:11:22 by weight. If the ratio of olive oil to canola oil is tripled while the ratio of olive oil to grapeseed oil stays the same, what fraction of the new oil will be canola oil?

A. $$\frac{9}{80}$$
B. $$\frac{9}{69}$$
C. $$\frac{11}{80}$$
D. $$\frac{11}{69}$$
E. $$\frac{11}{25}$$
Senior SC Moderator
Joined: 22 May 2016
Posts: 3747
A certain cooking oil is composed of olive, canola and grapeseed oils  [#permalink]

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28 Nov 2017, 13:51
2
abansal1805 wrote:
A certain cooking oil is composed of olive, canola and grapeseed oils in a ratio of 1:11:22 by weight. If the ratio of olive oil to canola oil is tripled while the ratio of olive oil to grapeseed oil stays the same, what fraction of the new oil will be canola oil?

A. $$\frac{9}{80}$$
B. $$\frac{9}{69}$$
C. $$\frac{11}{80}$$
D. $$\frac{11}{69}$$
E. $$\frac{11}{25}$$

Original ratio is
O : C : G
1 : 11: 22

The ratio of Olive : Canola is tripled.

$$(\frac{Olive}{Canola} = \frac{1}{11} * 3) = (\frac{3olive}{11canola})=\frac{3}{11}$$

Ratio of Grapeseed : Olive stays the same. The ratio is $$\frac{G}{O} = \frac{22}{1}$$

But now there are 3 parts olive oil. We need more grapeseed oil to maintain the ratio:

$$\frac{22G}{(1)O}=\frac{(x)G}{(3)O}=\frac{66G}{(3)O}=\frac{66}{3}$$

Either: Olive, denominator, was multiplied by 3 (1*3--> 3), so do the same to numerator with grapeseed (22*3--> 66), OR

$$\frac{22G}{(1)O}=\frac{x}{3}$$
$$x = (22*3) = 66$$

New ratio among parts
O : C : G
3 : 11: 66

What fraction of the new oil will be canola oil?

$$\frac{C}{(O+C+G)}$$

Total parts: (O + C + G) = 80
Canola = 11

$$\frac{11}{80}$$

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Joined: 04 Jun 2018
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Re: A certain cooking oil is composed of olive, canola and grapeseed oils  [#permalink]

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25 May 2019, 02:51
For me, this question was almost RC, as understanding what to calculate was harder than the actual math itself.
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Re: A certain cooking oil is composed of olive, canola and grapeseed oils   [#permalink] 25 May 2019, 02:51
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