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A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respe

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A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respe  [#permalink]

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New post 26 Mar 2018, 23:29
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A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respectively. How many cups of flaxseed are used to make the mixture?

(1) There are a total of 15 cups in the mixture.
(2) The ratio of the number of cups of flaxseed to the total number of cups in the mixture is 1 to 5.

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Re: A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respe  [#permalink]

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New post 27 Mar 2018, 00:03
Bunuel wrote:
A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respectively. How many cups of flaxseed are used to make the mixture?

(1) There are a total of 15 cups in the mixture.
(2) The ratio of the number of cups of flaxseed to the total number of cups in the mixture is 1 to 5.


We are given the ration of flaxseed to cornmeal as 1 : 4 , hence from this we know that 1 cup of flaxseed for 5 cups of mixtures & 4 cups of cornmeal for 5 cups of mixture.

(1) There are total 15 cups. Hence we can find flaxseed cups from this info - \(\frac{1}{5} * 15 = 3\) Hence sufficient.

(2) Ration of flaxseed to total is 1 : 5 No new info given here as we already know this from Q Not suff

Hence Option (1) is correct.

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A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respe  [#permalink]

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New post 29 Mar 2018, 12:01
Q never says that ONLY Flax and Cornmeal are in the mixture. It just tells us that those two are in there with 1:4 ratio.

So (1) is insufficient. Since a third variable, say x, could be of the ratio of F:C:X, like 1:4:2.5 (aka 2:8:5)

(2) is almost suff (it gave us new info in helping us to guarantee that f and c are the only mixtures in this mix).
If 1:5 is flax:total, then corn:total is 4:5, which abides by the flax:corn ... 1:4. This leaves no room for another mixture. But since we are only given ratios here, we can't speak for the exact number of cups.

(1) + (2) combined: we use total base number of 15 cups from (1) and the guarantee of having only F and C in the mix from (2) to get final answer C.

So, imo: C
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Re: A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respe  [#permalink]

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New post 29 Mar 2018, 21:46
C ,
1 is insuff as mix contains f and C as individuals and given is no. of cups , not sure wat is the ration in cups
2 is insuff coz ratio in the cup is given but we do not know the common factor

both suff
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Re: A mixture consists of flaxseed and cornmeal in the ratio 1 to 4, respe   [#permalink] 29 Mar 2018, 21:46
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